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Finding the Fourth Proportional to 332.86, 499.31 and 178.76

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Solution

The fourth proportional to 332.86, 499.31 and 178.76 is: 268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.86 : 499.31 = 178.76 : x
  2. Step 2: Convert to fraction form
    332.86/499.31 = 178.76/x
  3. Step 3: Cross multiply
    332.86x = 499.31 × 178.76
  4. Step 4: Simplify right side
    332.86x = 89,255.88
  5. Step 5: Solve for x
    x = 89,255.88/332.86
  6. Step 6: Final answer
    x = 268.15

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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.