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Finding the Fourth Proportional to 149.83, 224.68 and 58.49

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Solution

The fourth proportional to 149.83, 224.68 and 58.49 is: 87.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.83 : 224.68 = 58.49 : x
  2. Step 2: Convert to fraction form
    149.83/224.68 = 58.49/x
  3. Step 3: Cross multiply
    149.83x = 224.68 × 58.49
  4. Step 4: Simplify right side
    149.83x = 13,142.33
  5. Step 5: Solve for x
    x = 13,142.33/149.83
  6. Step 6: Final answer
    x = 87.72

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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.