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Finding the Fourth Proportional to 247.79, 370.91 and 185.72

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Solution

The fourth proportional to 247.79, 370.91 and 185.72 is: 277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.79 : 370.91 = 185.72 : x
  2. Step 2: Convert to fraction form
    247.79/370.91 = 185.72/x
  3. Step 3: Cross multiply
    247.79x = 370.91 × 185.72
  4. Step 4: Simplify right side
    247.79x = 68,882.62
  5. Step 5: Solve for x
    x = 68,882.62/247.79
  6. Step 6: Final answer
    x = 277.99

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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.