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Finding the Fourth Proportional to 588.15, 882.02 and 177.14

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Solution

The fourth proportional to 588.15, 882.02 and 177.14 is: 265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.15 : 882.02 = 177.14 : x
  2. Step 2: Convert to fraction form
    588.15/882.02 = 177.14/x
  3. Step 3: Cross multiply
    588.15x = 882.02 × 177.14
  4. Step 4: Simplify right side
    588.15x = 156,235.73
  5. Step 5: Solve for x
    x = 156,235.73/588.15
  6. Step 6: Final answer
    x = 265.64

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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.