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Finding the Fourth Proportional to 149.78, 224.71 and 58.49

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Solution

The fourth proportional to 149.78, 224.71 and 58.49 is: 87.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 224.71 = 58.49 : x
  2. Step 2: Convert to fraction form
    149.78/224.71 = 58.49/x
  3. Step 3: Cross multiply
    149.78x = 224.71 × 58.49
  4. Step 4: Simplify right side
    149.78x = 13,142.86
  5. Step 5: Solve for x
    x = 13,142.86/149.78
  6. Step 6: Final answer
    x = 87.75

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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.