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Finding the Fourth Proportional to 562.86, 844.32 and 178.14

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Solution

The fourth proportional to 562.86, 844.32 and 178.14 is: 267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.86 : 844.32 = 178.14 : x
  2. Step 2: Convert to fraction form
    562.86/844.32 = 178.14/x
  3. Step 3: Cross multiply
    562.86x = 844.32 × 178.14
  4. Step 4: Simplify right side
    562.86x = 150,407.16
  5. Step 5: Solve for x
    x = 150,407.16/562.86
  6. Step 6: Final answer
    x = 267.22

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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.