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Finding the Fourth Proportional to 147.74, 204.13 and 129.29

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Solution

The fourth proportional to 147.74, 204.13 and 129.29 is: 178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.74 : 204.13 = 129.29 : x
  2. Step 2: Convert to fraction form
    147.74/204.13 = 129.29/x
  3. Step 3: Cross multiply
    147.74x = 204.13 × 129.29
  4. Step 4: Simplify right side
    147.74x = 26,391.97
  5. Step 5: Solve for x
    x = 26,391.97/147.74
  6. Step 6: Final answer
    x = 178.64

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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.