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Finding the Fourth Proportional to 149.52, 224.20 and 46.78

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Solution

The fourth proportional to 149.52, 224.20 and 46.78 is: 70.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.52 : 224.20 = 46.78 : x
  2. Step 2: Convert to fraction form
    149.52/224.20 = 46.78/x
  3. Step 3: Cross multiply
    149.52x = 224.20 × 46.78
  4. Step 4: Simplify right side
    149.52x = 10,488.08
  5. Step 5: Solve for x
    x = 10,488.08/149.52
  6. Step 6: Final answer
    x = 70.14

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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.