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Finding the Fourth Proportional to 332.66, 498.98 and 137.61

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Solution

The fourth proportional to 332.66, 498.98 and 137.61 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.66 : 498.98 = 137.61 : x
  2. Step 2: Convert to fraction form
    332.66/498.98 = 137.61/x
  3. Step 3: Cross multiply
    332.66x = 498.98 × 137.61
  4. Step 4: Simplify right side
    332.66x = 68,663.95
  5. Step 5: Solve for x
    x = 68,663.95/332.66
  6. Step 6: Final answer
    x = 206.41

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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.