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Finding the Fourth Proportional to 331.92, 498.05 and 137.07

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Solution

The fourth proportional to 331.92, 498.05 and 137.07 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.92 : 498.05 = 137.07 : x
  2. Step 2: Convert to fraction form
    331.92/498.05 = 137.07/x
  3. Step 3: Cross multiply
    331.92x = 498.05 × 137.07
  4. Step 4: Simplify right side
    331.92x = 68,267.71
  5. Step 5: Solve for x
    x = 68,267.71/331.92
  6. Step 6: Final answer
    x = 205.68

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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.