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Finding the Fourth Proportional to 252.99, 348.99 and 159.66

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Solution

The fourth proportional to 252.99, 348.99 and 159.66 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.99 : 348.99 = 159.66 : x
  2. Step 2: Convert to fraction form
    252.99/348.99 = 159.66/x
  3. Step 3: Cross multiply
    252.99x = 348.99 × 159.66
  4. Step 4: Simplify right side
    252.99x = 55,719.74
  5. Step 5: Solve for x
    x = 55,719.74/252.99
  6. Step 6: Final answer
    x = 220.24

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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.