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Finding the Fourth Proportional to 164.76, 246.11 and 140.46

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Solution

The fourth proportional to 164.76, 246.11 and 140.46 is: 209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 246.11 = 140.46 : x
  2. Step 2: Convert to fraction form
    164.76/246.11 = 140.46/x
  3. Step 3: Cross multiply
    164.76x = 246.11 × 140.46
  4. Step 4: Simplify right side
    164.76x = 34,567.91
  5. Step 5: Solve for x
    x = 34,567.91/164.76
  6. Step 6: Final answer
    x = 209.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.