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Finding the Fourth Proportional to 247.98, 342.22 and 149.74

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Solution

The fourth proportional to 247.98, 342.22 and 149.74 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.98 : 342.22 = 149.74 : x
  2. Step 2: Convert to fraction form
    247.98/342.22 = 149.74/x
  3. Step 3: Cross multiply
    247.98x = 342.22 × 149.74
  4. Step 4: Simplify right side
    247.98x = 51,244.02
  5. Step 5: Solve for x
    x = 51,244.02/247.98
  6. Step 6: Final answer
    x = 206.65

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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.