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Finding the Fourth Proportional to 247.84, 371.70 and 103.72

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Solution

The fourth proportional to 247.84, 371.70 and 103.72 is: 155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.84 : 371.70 = 103.72 : x
  2. Step 2: Convert to fraction form
    247.84/371.70 = 103.72/x
  3. Step 3: Cross multiply
    247.84x = 371.70 × 103.72
  4. Step 4: Simplify right side
    247.84x = 38,552.72
  5. Step 5: Solve for x
    x = 38,552.72/247.84
  6. Step 6: Final answer
    x = 155.55

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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.