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Finding the Fourth Proportional to 725.23, 1,087.86 and 177.43

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Solution

The fourth proportional to 725.23, 1,087.86 and 177.43 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.23 : 1,087.86 = 177.43 : x
  2. Step 2: Convert to fraction form
    725.23/1,087.86 = 177.43/x
  3. Step 3: Cross multiply
    725.23x = 1,087.86 × 177.43
  4. Step 4: Simplify right side
    725.23x = 193,012.67
  5. Step 5: Solve for x
    x = 193,012.67/725.23
  6. Step 6: Final answer
    x = 266.14

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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.