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Finding the Fourth Proportional to 332.16, 496.96 and 229.12

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Solution

The fourth proportional to 332.16, 496.96 and 229.12 is: 342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 496.96 = 229.12 : x
  2. Step 2: Convert to fraction form
    332.16/496.96 = 229.12/x
  3. Step 3: Cross multiply
    332.16x = 496.96 × 229.12
  4. Step 4: Simplify right side
    332.16x = 113,863.48
  5. Step 5: Solve for x
    x = 113,863.48/332.16
  6. Step 6: Final answer
    x = 342.80

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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.