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Finding the Fourth Proportional to 147.71, 204.09 and 129.26

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Solution

The fourth proportional to 147.71, 204.09 and 129.26 is: 178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.71 : 204.09 = 129.26 : x
  2. Step 2: Convert to fraction form
    147.71/204.09 = 129.26/x
  3. Step 3: Cross multiply
    147.71x = 204.09 × 129.26
  4. Step 4: Simplify right side
    147.71x = 26,380.67
  5. Step 5: Solve for x
    x = 26,380.67/147.71
  6. Step 6: Final answer
    x = 178.60

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