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Finding the Fourth Proportional to 252.56, 348.30 and 165.20

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Solution

The fourth proportional to 252.56, 348.30 and 165.20 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 348.30 = 165.20 : x
  2. Step 2: Convert to fraction form
    252.56/348.30 = 165.20/x
  3. Step 3: Cross multiply
    252.56x = 348.30 × 165.20
  4. Step 4: Simplify right side
    252.56x = 57,539.16
  5. Step 5: Solve for x
    x = 57,539.16/252.56
  6. Step 6: Final answer
    x = 227.82

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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.