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Finding the Fourth Proportional to 279.89, 385.97 and 217.61

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Solution

The fourth proportional to 279.89, 385.97 and 217.61 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.89 : 385.97 = 217.61 : x
  2. Step 2: Convert to fraction form
    279.89/385.97 = 217.61/x
  3. Step 3: Cross multiply
    279.89x = 385.97 × 217.61
  4. Step 4: Simplify right side
    279.89x = 83,987.91
  5. Step 5: Solve for x
    x = 83,987.91/279.89
  6. Step 6: Final answer
    x = 300.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.