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Finding the Fourth Proportional to 265.85, 367.17 and 252.89

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Solution

The fourth proportional to 265.85, 367.17 and 252.89 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.85 : 367.17 = 252.89 : x
  2. Step 2: Convert to fraction form
    265.85/367.17 = 252.89/x
  3. Step 3: Cross multiply
    265.85x = 367.17 × 252.89
  4. Step 4: Simplify right side
    265.85x = 92,853.62
  5. Step 5: Solve for x
    x = 92,853.62/265.85
  6. Step 6: Final answer
    x = 349.27

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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.