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Finding the Fourth Proportional to 322.67, 484.07 and 185.78

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Solution

The fourth proportional to 322.67, 484.07 and 185.78 is: 278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.67 : 484.07 = 185.78 : x
  2. Step 2: Convert to fraction form
    322.67/484.07 = 185.78/x
  3. Step 3: Cross multiply
    322.67x = 484.07 × 185.78
  4. Step 4: Simplify right side
    322.67x = 89,927.18
  5. Step 5: Solve for x
    x = 89,927.18/322.67
  6. Step 6: Final answer
    x = 278.70

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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.