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Finding the Fourth Proportional to 457.83, 686.79 and 165.49

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Solution

The fourth proportional to 457.83, 686.79 and 165.49 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.83 : 686.79 = 165.49 : x
  2. Step 2: Convert to fraction form
    457.83/686.79 = 165.49/x
  3. Step 3: Cross multiply
    457.83x = 686.79 × 165.49
  4. Step 4: Simplify right side
    457.83x = 113,655.16
  5. Step 5: Solve for x
    x = 113,655.16/457.83
  6. Step 6: Final answer
    x = 248.25

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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.