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Finding the Fourth Proportional to 562.19, 842.72 and 196.70

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Solution

The fourth proportional to 562.19, 842.72 and 196.70 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.19 : 842.72 = 196.70 : x
  2. Step 2: Convert to fraction form
    562.19/842.72 = 196.70/x
  3. Step 3: Cross multiply
    562.19x = 842.72 × 196.70
  4. Step 4: Simplify right side
    562.19x = 165,757.83
  5. Step 5: Solve for x
    x = 165,757.83/562.19
  6. Step 6: Final answer
    x = 294.85

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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.