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Finding the Fourth Proportional to 332.73, 498.71 and 178.77

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Solution

The fourth proportional to 332.73, 498.71 and 178.77 is: 267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.73 : 498.71 = 178.77 : x
  2. Step 2: Convert to fraction form
    332.73/498.71 = 178.77/x
  3. Step 3: Cross multiply
    332.73x = 498.71 × 178.77
  4. Step 4: Simplify right side
    332.73x = 89,154.39
  5. Step 5: Solve for x
    x = 89,154.39/332.73
  6. Step 6: Final answer
    x = 267.95

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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.