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Finding the Fourth Proportional to 247.09, 340.93 and 159.75

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Solution

The fourth proportional to 247.09, 340.93 and 159.75 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.09 : 340.93 = 159.75 : x
  2. Step 2: Convert to fraction form
    247.09/340.93 = 159.75/x
  3. Step 3: Cross multiply
    247.09x = 340.93 × 159.75
  4. Step 4: Simplify right side
    247.09x = 54,463.57
  5. Step 5: Solve for x
    x = 54,463.57/247.09
  6. Step 6: Final answer
    x = 220.42

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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.