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Finding the Fourth Proportional to 247.46, 370.95 and 103.28

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Solution

The fourth proportional to 247.46, 370.95 and 103.28 is: 154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.46 : 370.95 = 103.28 : x
  2. Step 2: Convert to fraction form
    247.46/370.95 = 103.28/x
  3. Step 3: Cross multiply
    247.46x = 370.95 × 103.28
  4. Step 4: Simplify right side
    247.46x = 38,311.72
  5. Step 5: Solve for x
    x = 38,311.72/247.46
  6. Step 6: Final answer
    x = 154.82

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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.