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Finding the Fourth Proportional to 247.45, 341.46 and 142.53

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Solution

The fourth proportional to 247.45, 341.46 and 142.53 is: 196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.45 : 341.46 = 142.53 : x
  2. Step 2: Convert to fraction form
    247.45/341.46 = 142.53/x
  3. Step 3: Cross multiply
    247.45x = 341.46 × 142.53
  4. Step 4: Simplify right side
    247.45x = 48,668.29
  5. Step 5: Solve for x
    x = 48,668.29/247.45
  6. Step 6: Final answer
    x = 196.68

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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.