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Finding the Fourth Proportional to 332.43, 498.67 and 149.80

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Solution

The fourth proportional to 332.43, 498.67 and 149.80 is: 224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.43 : 498.67 = 149.80 : x
  2. Step 2: Convert to fraction form
    332.43/498.67 = 149.80/x
  3. Step 3: Cross multiply
    332.43x = 498.67 × 149.80
  4. Step 4: Simplify right side
    332.43x = 74,698.27
  5. Step 5: Solve for x
    x = 74,698.27/332.43
  6. Step 6: Final answer
    x = 224.71

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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.