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Finding the Fourth Proportional to 252.70, 348.53 and 165.22

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Solution

The fourth proportional to 252.70, 348.53 and 165.22 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.70 : 348.53 = 165.22 : x
  2. Step 2: Convert to fraction form
    252.70/348.53 = 165.22/x
  3. Step 3: Cross multiply
    252.70x = 348.53 × 165.22
  4. Step 4: Simplify right side
    252.70x = 57,584.13
  5. Step 5: Solve for x
    x = 57,584.13/252.70
  6. Step 6: Final answer
    x = 227.88

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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.