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Finding the Fourth Proportional to 247.14, 340.94 and 159.80

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Solution

The fourth proportional to 247.14, 340.94 and 159.80 is: 220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.14 : 340.94 = 159.80 : x
  2. Step 2: Convert to fraction form
    247.14/340.94 = 159.80/x
  3. Step 3: Cross multiply
    247.14x = 340.94 × 159.80
  4. Step 4: Simplify right side
    247.14x = 54,480.91
  5. Step 5: Solve for x
    x = 54,480.91/247.14
  6. Step 6: Final answer
    x = 220.45

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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.