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Finding the Fourth Proportional to 652.85, 979.29 and 165.91

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Solution

The fourth proportional to 652.85, 979.29 and 165.91 is: 248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.85 : 979.29 = 165.91 : x
  2. Step 2: Convert to fraction form
    652.85/979.29 = 165.91/x
  3. Step 3: Cross multiply
    652.85x = 979.29 × 165.91
  4. Step 4: Simplify right side
    652.85x = 162,471.56
  5. Step 5: Solve for x
    x = 162,471.56/652.85
  6. Step 6: Final answer
    x = 248.86

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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.