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Finding the Fourth Proportional to 486.31, 728.82 and 177.88

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Solution

The fourth proportional to 486.31, 728.82 and 177.88 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.31 : 728.82 = 177.88 : x
  2. Step 2: Convert to fraction form
    486.31/728.82 = 177.88/x
  3. Step 3: Cross multiply
    486.31x = 728.82 × 177.88
  4. Step 4: Simplify right side
    486.31x = 129,637.97
  5. Step 5: Solve for x
    x = 129,637.97/486.31
  6. Step 6: Final answer
    x = 266.57

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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.