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Finding the Fourth Proportional to 332.76, 498.64 and 178.78

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Solution

The fourth proportional to 332.76, 498.64 and 178.78 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.76 : 498.64 = 178.78 : x
  2. Step 2: Convert to fraction form
    332.76/498.64 = 178.78/x
  3. Step 3: Cross multiply
    332.76x = 498.64 × 178.78
  4. Step 4: Simplify right side
    332.76x = 89,146.86
  5. Step 5: Solve for x
    x = 89,146.86/332.76
  6. Step 6: Final answer
    x = 267.90

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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.