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Finding the Fourth Proportional to 588.25, 882.11 and 177.31

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Solution

The fourth proportional to 588.25, 882.11 and 177.31 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.25 : 882.11 = 177.31 : x
  2. Step 2: Convert to fraction form
    588.25/882.11 = 177.31/x
  3. Step 3: Cross multiply
    588.25x = 882.11 × 177.31
  4. Step 4: Simplify right side
    588.25x = 156,405.16
  5. Step 5: Solve for x
    x = 156,405.16/588.25
  6. Step 6: Final answer
    x = 265.88

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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.