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Finding the Fourth Proportional to 247.12, 370.66 and 102.74

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Solution

The fourth proportional to 247.12, 370.66 and 102.74 is: 154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.12 : 370.66 = 102.74 : x
  2. Step 2: Convert to fraction form
    247.12/370.66 = 102.74/x
  3. Step 3: Cross multiply
    247.12x = 370.66 × 102.74
  4. Step 4: Simplify right side
    247.12x = 38,079.69
  5. Step 5: Solve for x
    x = 38,079.69/247.12
  6. Step 6: Final answer
    x = 154.10

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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.