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Finding the Fourth Proportional to 168.72, 253.08 and 140.16

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Solution

The fourth proportional to 168.72, 253.08 and 140.16 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.72 : 253.08 = 140.16 : x
  2. Step 2: Convert to fraction form
    168.72/253.08 = 140.16/x
  3. Step 3: Cross multiply
    168.72x = 253.08 × 140.16
  4. Step 4: Simplify right side
    168.72x = 35,471.69
  5. Step 5: Solve for x
    x = 35,471.69/168.72
  6. Step 6: Final answer
    x = 210.24

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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.