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Finding the Fourth Proportional to 252.42, 348.14 and 159.09

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Solution

The fourth proportional to 252.42, 348.14 and 159.09 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 348.14 = 159.09 : x
  2. Step 2: Convert to fraction form
    252.42/348.14 = 159.09/x
  3. Step 3: Cross multiply
    252.42x = 348.14 × 159.09
  4. Step 4: Simplify right side
    252.42x = 55,384.80
  5. Step 5: Solve for x
    x = 55,384.80/252.42
  6. Step 6: Final answer
    x = 219.42

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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.