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Finding the Fourth Proportional to 332.43, 498.20 and 178.02

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Solution

The fourth proportional to 332.43, 498.20 and 178.02 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.43 : 498.20 = 178.02 : x
  2. Step 2: Convert to fraction form
    332.43/498.20 = 178.02/x
  3. Step 3: Cross multiply
    332.43x = 498.20 × 178.02
  4. Step 4: Simplify right side
    332.43x = 88,691.08
  5. Step 5: Solve for x
    x = 88,691.08/332.43
  6. Step 6: Final answer
    x = 266.80

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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.