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Finding the Fourth Proportional to 168.32, 252.55 and 145.24

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Solution

The fourth proportional to 168.32, 252.55 and 145.24 is: 217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.32 : 252.55 = 145.24 : x
  2. Step 2: Convert to fraction form
    168.32/252.55 = 145.24/x
  3. Step 3: Cross multiply
    168.32x = 252.55 × 145.24
  4. Step 4: Simplify right side
    168.32x = 36,680.36
  5. Step 5: Solve for x
    x = 36,680.36/168.32
  6. Step 6: Final answer
    x = 217.92

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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.