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Finding the Fourth Proportional to 562.02, 843.09 and 196.71

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Solution

The fourth proportional to 562.02, 843.09 and 196.71 is: 295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.02 : 843.09 = 196.71 : x
  2. Step 2: Convert to fraction form
    562.02/843.09 = 196.71/x
  3. Step 3: Cross multiply
    562.02x = 843.09 × 196.71
  4. Step 4: Simplify right side
    562.02x = 165,844.23
  5. Step 5: Solve for x
    x = 165,844.23/562.02
  6. Step 6: Final answer
    x = 295.09

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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.