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Finding the Fourth Proportional to 457.40, 686.27 and 164.93

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Solution

The fourth proportional to 457.40, 686.27 and 164.93 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 686.27 = 164.93 : x
  2. Step 2: Convert to fraction form
    457.40/686.27 = 164.93/x
  3. Step 3: Cross multiply
    457.40x = 686.27 × 164.93
  4. Step 4: Simplify right side
    457.40x = 113,183.49
  5. Step 5: Solve for x
    x = 113,183.49/457.40
  6. Step 6: Final answer
    x = 247.45

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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.