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Finding the Fourth Proportional to 562.36, 843.65 and 197.14

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Solution

The fourth proportional to 562.36, 843.65 and 197.14 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 843.65 = 197.14 : x
  2. Step 2: Convert to fraction form
    562.36/843.65 = 197.14/x
  3. Step 3: Cross multiply
    562.36x = 843.65 × 197.14
  4. Step 4: Simplify right side
    562.36x = 166,317.16
  5. Step 5: Solve for x
    x = 166,317.16/562.36
  6. Step 6: Final answer
    x = 295.75

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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.