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Finding the Fourth Proportional to 332.97, 499.61 and 179.02

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Solution

The fourth proportional to 332.97, 499.61 and 179.02 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.97 : 499.61 = 179.02 : x
  2. Step 2: Convert to fraction form
    332.97/499.61 = 179.02/x
  3. Step 3: Cross multiply
    332.97x = 499.61 × 179.02
  4. Step 4: Simplify right side
    332.97x = 89,440.18
  5. Step 5: Solve for x
    x = 89,440.18/332.97
  6. Step 6: Final answer
    x = 268.61

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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.