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Finding the Fourth Proportional to 725.96, 1,088.91 and 178.14

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Solution

The fourth proportional to 725.96, 1,088.91 and 178.14 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.96 : 1,088.91 = 178.14 : x
  2. Step 2: Convert to fraction form
    725.96/1,088.91 = 178.14/x
  3. Step 3: Cross multiply
    725.96x = 1,088.91 × 178.14
  4. Step 4: Simplify right side
    725.96x = 193,978.43
  5. Step 5: Solve for x
    x = 193,978.43/725.96
  6. Step 6: Final answer
    x = 267.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.