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Finding the Fourth Proportional to 458.19, 686.97 and 149.94

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Solution

The fourth proportional to 458.19, 686.97 and 149.94 is: 224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.19 : 686.97 = 149.94 : x
  2. Step 2: Convert to fraction form
    458.19/686.97 = 149.94/x
  3. Step 3: Cross multiply
    458.19x = 686.97 × 149.94
  4. Step 4: Simplify right side
    458.19x = 103,004.28
  5. Step 5: Solve for x
    x = 103,004.28/458.19
  6. Step 6: Final answer
    x = 224.81

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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.