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Finding the Fourth Proportional to 247.27, 341.19 and 142.35

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Solution

The fourth proportional to 247.27, 341.19 and 142.35 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.27 : 341.19 = 142.35 : x
  2. Step 2: Convert to fraction form
    247.27/341.19 = 142.35/x
  3. Step 3: Cross multiply
    247.27x = 341.19 × 142.35
  4. Step 4: Simplify right side
    247.27x = 48,568.40
  5. Step 5: Solve for x
    x = 48,568.40/247.27
  6. Step 6: Final answer
    x = 196.42

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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.