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Finding the Fourth Proportional to 247.95, 371.76 and 117.78

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Solution

The fourth proportional to 247.95, 371.76 and 117.78 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.95 : 371.76 = 117.78 : x
  2. Step 2: Convert to fraction form
    247.95/371.76 = 117.78/x
  3. Step 3: Cross multiply
    247.95x = 371.76 × 117.78
  4. Step 4: Simplify right side
    247.95x = 43,785.89
  5. Step 5: Solve for x
    x = 43,785.89/247.95
  6. Step 6: Final answer
    x = 176.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.