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Finding the Fourth Proportional to 332.39, 498.85 and 149.80

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Solution

The fourth proportional to 332.39, 498.85 and 149.80 is: 224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.39 : 498.85 = 149.80 : x
  2. Step 2: Convert to fraction form
    332.39/498.85 = 149.80/x
  3. Step 3: Cross multiply
    332.39x = 498.85 × 149.80
  4. Step 4: Simplify right side
    332.39x = 74,725.64
  5. Step 5: Solve for x
    x = 74,725.64/332.39
  6. Step 6: Final answer
    x = 224.81

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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.