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Finding the Fourth Proportional to 562.01, 842.48 and 196.70

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Solution

The fourth proportional to 562.01, 842.48 and 196.70 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.01 : 842.48 = 196.70 : x
  2. Step 2: Convert to fraction form
    562.01/842.48 = 196.70/x
  3. Step 3: Cross multiply
    562.01x = 842.48 × 196.70
  4. Step 4: Simplify right side
    562.01x = 165,714.83
  5. Step 5: Solve for x
    x = 165,714.83/562.01
  6. Step 6: Final answer
    x = 294.86

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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.