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Finding the Fourth Proportional to 151.12, 208.32 and 129.20

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Solution

The fourth proportional to 151.12, 208.32 and 129.20 is: 178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.12 : 208.32 = 129.20 : x
  2. Step 2: Convert to fraction form
    151.12/208.32 = 129.20/x
  3. Step 3: Cross multiply
    151.12x = 208.32 × 129.20
  4. Step 4: Simplify right side
    151.12x = 26,914.94
  5. Step 5: Solve for x
    x = 26,914.94/151.12
  6. Step 6: Final answer
    x = 178.10

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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.