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Finding the Fourth Proportional to 168.16, 252.48 and 142.69

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Solution

The fourth proportional to 168.16, 252.48 and 142.69 is: 214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.16 : 252.48 = 142.69 : x
  2. Step 2: Convert to fraction form
    168.16/252.48 = 142.69/x
  3. Step 3: Cross multiply
    168.16x = 252.48 × 142.69
  4. Step 4: Simplify right side
    168.16x = 36,026.37
  5. Step 5: Solve for x
    x = 36,026.37/168.16
  6. Step 6: Final answer
    x = 214.24

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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.