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Finding the Fourth Proportional to 588.09, 882.24 and 177.20

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Solution

The fourth proportional to 588.09, 882.24 and 177.20 is: 265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.09 : 882.24 = 177.20 : x
  2. Step 2: Convert to fraction form
    588.09/882.24 = 177.20/x
  3. Step 3: Cross multiply
    588.09x = 882.24 × 177.20
  4. Step 4: Simplify right side
    588.09x = 156,335.80
  5. Step 5: Solve for x
    x = 156,335.80/588.09
  6. Step 6: Final answer
    x = 265.84

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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.