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Finding the Fourth Proportional to 457.96, 686.98 and 149.84

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Solution

The fourth proportional to 457.96, 686.98 and 149.84 is: 224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.96 : 686.98 = 149.84 : x
  2. Step 2: Convert to fraction form
    457.96/686.98 = 149.84/x
  3. Step 3: Cross multiply
    457.96x = 686.98 × 149.84
  4. Step 4: Simplify right side
    457.96x = 102,937.08
  5. Step 5: Solve for x
    x = 102,937.08/457.96
  6. Step 6: Final answer
    x = 224.77

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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.