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Finding the Fourth Proportional to 247.18, 340.90 and 159.86

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Solution

The fourth proportional to 247.18, 340.90 and 159.86 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.18 : 340.90 = 159.86 : x
  2. Step 2: Convert to fraction form
    247.18/340.90 = 159.86/x
  3. Step 3: Cross multiply
    247.18x = 340.90 × 159.86
  4. Step 4: Simplify right side
    247.18x = 54,496.27
  5. Step 5: Solve for x
    x = 54,496.27/247.18
  6. Step 6: Final answer
    x = 220.47

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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.