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Finding the Fourth Proportional to 588.66, 882.97 and 177.78

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Solution

The fourth proportional to 588.66, 882.97 and 177.78 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.66 : 882.97 = 177.78 : x
  2. Step 2: Convert to fraction form
    588.66/882.97 = 177.78/x
  3. Step 3: Cross multiply
    588.66x = 882.97 × 177.78
  4. Step 4: Simplify right side
    588.66x = 156,974.41
  5. Step 5: Solve for x
    x = 156,974.41/588.66
  6. Step 6: Final answer
    x = 266.66

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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.