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Finding the Fourth Proportional to 588.18, 882 and 177.24

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Solution

The fourth proportional to 588.18, 882 and 177.24 is: 265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.18 : 882 = 177.24 : x
  2. Step 2: Convert to fraction form
    588.18/882 = 177.24/x
  3. Step 3: Cross multiply
    588.18x = 882 × 177.24
  4. Step 4: Simplify right side
    588.18x = 156,321.27
  5. Step 5: Solve for x
    x = 156,321.27/588.18
  6. Step 6: Final answer
    x = 265.77

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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.