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Finding the Fourth Proportional to 562.23, 843.23 and 197.12

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Solution

The fourth proportional to 562.23, 843.23 and 197.12 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.23 : 843.23 = 197.12 : x
  2. Step 2: Convert to fraction form
    562.23/843.23 = 197.12/x
  3. Step 3: Cross multiply
    562.23x = 843.23 × 197.12
  4. Step 4: Simplify right side
    562.23x = 166,217.50
  5. Step 5: Solve for x
    x = 166,217.50/562.23
  6. Step 6: Final answer
    x = 295.64

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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.