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Finding the Fourth Proportional to 458.14, 686.94 and 184.24

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Solution

The fourth proportional to 458.14, 686.94 and 184.24 is: 276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.14 : 686.94 = 184.24 : x
  2. Step 2: Convert to fraction form
    458.14/686.94 = 184.24/x
  3. Step 3: Cross multiply
    458.14x = 686.94 × 184.24
  4. Step 4: Simplify right side
    458.14x = 126,561.83
  5. Step 5: Solve for x
    x = 126,561.83/458.14
  6. Step 6: Final answer
    x = 276.25

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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.