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Finding the Fourth Proportional to 247.36, 370.70 and 149.84

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Solution

The fourth proportional to 247.36, 370.70 and 149.84 is: 224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.36 : 370.70 = 149.84 : x
  2. Step 2: Convert to fraction form
    247.36/370.70 = 149.84/x
  3. Step 3: Cross multiply
    247.36x = 370.70 × 149.84
  4. Step 4: Simplify right side
    247.36x = 55,545.69
  5. Step 5: Solve for x
    x = 55,545.69/247.36
  6. Step 6: Final answer
    x = 224.55

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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.