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Finding the Fourth Proportional to 332.49, 498.56 and 116.02

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Solution

The fourth proportional to 332.49, 498.56 and 116.02 is: 173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.49 : 498.56 = 116.02 : x
  2. Step 2: Convert to fraction form
    332.49/498.56 = 116.02/x
  3. Step 3: Cross multiply
    332.49x = 498.56 × 116.02
  4. Step 4: Simplify right side
    332.49x = 57,841.97
  5. Step 5: Solve for x
    x = 57,841.97/332.49
  6. Step 6: Final answer
    x = 173.97

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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.