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Finding the Fourth Proportional to 725.98, 1,088.94 and 178.15

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Solution

The fourth proportional to 725.98, 1,088.94 and 178.15 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.98 : 1,088.94 = 178.15 : x
  2. Step 2: Convert to fraction form
    725.98/1,088.94 = 178.15/x
  3. Step 3: Cross multiply
    725.98x = 1,088.94 × 178.15
  4. Step 4: Simplify right side
    725.98x = 193,989.22
  5. Step 5: Solve for x
    x = 193,989.22/725.98
  6. Step 6: Final answer
    x = 267.21

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Why These Related Problems?

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