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Finding the Fourth Proportional to 149.43, 224.18 and 46.71

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Solution

The fourth proportional to 149.43, 224.18 and 46.71 is: 70.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.43 : 224.18 = 46.71 : x
  2. Step 2: Convert to fraction form
    149.43/224.18 = 46.71/x
  3. Step 3: Cross multiply
    149.43x = 224.18 × 46.71
  4. Step 4: Simplify right side
    149.43x = 10,471.45
  5. Step 5: Solve for x
    x = 10,471.45/149.43
  6. Step 6: Final answer
    x = 70.08

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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.