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Finding the Fourth Proportional to 247.98, 342.24 and 143.09

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Solution

The fourth proportional to 247.98, 342.24 and 143.09 is: 197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.98 : 342.24 = 143.09 : x
  2. Step 2: Convert to fraction form
    247.98/342.24 = 143.09/x
  3. Step 3: Cross multiply
    247.98x = 342.24 × 143.09
  4. Step 4: Simplify right side
    247.98x = 48,970.76
  5. Step 5: Solve for x
    x = 48,970.76/247.98
  6. Step 6: Final answer
    x = 197.48

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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.