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Finding the Fourth Proportional to 588.12, 881.92 and 177.12

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Solution

The fourth proportional to 588.12, 881.92 and 177.12 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 881.92 = 177.12 : x
  2. Step 2: Convert to fraction form
    588.12/881.92 = 177.12/x
  3. Step 3: Cross multiply
    588.12x = 881.92 × 177.12
  4. Step 4: Simplify right side
    588.12x = 156,205.67
  5. Step 5: Solve for x
    x = 156,205.67/588.12
  6. Step 6: Final answer
    x = 265.60

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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.