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Finding the Fourth Proportional to 457.14, 685.71 and 168.42

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Solution

The fourth proportional to 457.14, 685.71 and 168.42 is: 252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.14 : 685.71 = 168.42 : x
  2. Step 2: Convert to fraction form
    457.14/685.71 = 168.42/x
  3. Step 3: Cross multiply
    457.14x = 685.71 × 168.42
  4. Step 4: Simplify right side
    457.14x = 115,487.28
  5. Step 5: Solve for x
    x = 115,487.28/457.14
  6. Step 6: Final answer
    x = 252.63

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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.