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Finding the Fourth Proportional to 457.37, 686.11 and 149.26

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Solution

The fourth proportional to 457.37, 686.11 and 149.26 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.37 : 686.11 = 149.26 : x
  2. Step 2: Convert to fraction form
    457.37/686.11 = 149.26/x
  3. Step 3: Cross multiply
    457.37x = 686.11 × 149.26
  4. Step 4: Simplify right side
    457.37x = 102,405.35
  5. Step 5: Solve for x
    x = 102,405.35/457.37
  6. Step 6: Final answer
    x = 223.90

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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.