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Finding the Fourth Proportional to 252.46, 348.28 and 159.07

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Solution

The fourth proportional to 252.46, 348.28 and 159.07 is: 219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.46 : 348.28 = 159.07 : x
  2. Step 2: Convert to fraction form
    252.46/348.28 = 159.07/x
  3. Step 3: Cross multiply
    252.46x = 348.28 × 159.07
  4. Step 4: Simplify right side
    252.46x = 55,400.90
  5. Step 5: Solve for x
    x = 55,400.90/252.46
  6. Step 6: Final answer
    x = 219.44

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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.