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Finding the Fourth Proportional to 164.76, 248.55 and 158.40

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Solution

The fourth proportional to 164.76, 248.55 and 158.40 is: 238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 248.55 = 158.40 : x
  2. Step 2: Convert to fraction form
    164.76/248.55 = 158.40/x
  3. Step 3: Cross multiply
    164.76x = 248.55 × 158.40
  4. Step 4: Simplify right side
    164.76x = 39,370.32
  5. Step 5: Solve for x
    x = 39,370.32/164.76
  6. Step 6: Final answer
    x = 238.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.