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Finding the Fourth Proportional to 164.76, 228 and 140.16

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Solution

The fourth proportional to 164.76, 228 and 140.16 is: 193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 228 = 140.16 : x
  2. Step 2: Convert to fraction form
    164.76/228 = 140.16/x
  3. Step 3: Cross multiply
    164.76x = 228 × 140.16
  4. Step 4: Simplify right side
    164.76x = 31,956.48
  5. Step 5: Solve for x
    x = 31,956.48/164.76
  6. Step 6: Final answer
    x = 193.96

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Find fourth proportional to 82.38, 114 and 70.08
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.