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Finding the Fourth Proportional to 247.88, 342.14 and 149.64

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Solution

The fourth proportional to 247.88, 342.14 and 149.64 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.88 : 342.14 = 149.64 : x
  2. Step 2: Convert to fraction form
    247.88/342.14 = 149.64/x
  3. Step 3: Cross multiply
    247.88x = 342.14 × 149.64
  4. Step 4: Simplify right side
    247.88x = 51,197.83
  5. Step 5: Solve for x
    x = 51,197.83/247.88
  6. Step 6: Final answer
    x = 206.54

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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.