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Finding the Fourth Proportional to 252.91, 348.86 and 159.58

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Solution

The fourth proportional to 252.91, 348.86 and 159.58 is: 220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.91 : 348.86 = 159.58 : x
  2. Step 2: Convert to fraction form
    252.91/348.86 = 159.58/x
  3. Step 3: Cross multiply
    252.91x = 348.86 × 159.58
  4. Step 4: Simplify right side
    252.91x = 55,668.54
  5. Step 5: Solve for x
    x = 55,668.54/252.91
  6. Step 6: Final answer
    x = 220.11

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