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Finding the Fourth Proportional to 252.91, 349.07 and 165.53

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Solution

The fourth proportional to 252.91, 349.07 and 165.53 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.91 : 349.07 = 165.53 : x
  2. Step 2: Convert to fraction form
    252.91/349.07 = 165.53/x
  3. Step 3: Cross multiply
    252.91x = 349.07 × 165.53
  4. Step 4: Simplify right side
    252.91x = 57,781.56
  5. Step 5: Solve for x
    x = 57,781.56/252.91
  6. Step 6: Final answer
    x = 228.47

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Why These Related Problems?

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