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Finding the Fourth Proportional to 332.85, 500.19 and 178.89

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Solution

The fourth proportional to 332.85, 500.19 and 178.89 is: 268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.85 : 500.19 = 178.89 : x
  2. Step 2: Convert to fraction form
    332.85/500.19 = 178.89/x
  3. Step 3: Cross multiply
    332.85x = 500.19 × 178.89
  4. Step 4: Simplify right side
    332.85x = 89,478.99
  5. Step 5: Solve for x
    x = 89,478.99/332.85
  6. Step 6: Final answer
    x = 268.83

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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.