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Finding the Fourth Proportional to 247.42, 370.80 and 206.92

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Solution

The fourth proportional to 247.42, 370.80 and 206.92 is: 310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.42 : 370.80 = 206.92 : x
  2. Step 2: Convert to fraction form
    247.42/370.80 = 206.92/x
  3. Step 3: Cross multiply
    247.42x = 370.80 × 206.92
  4. Step 4: Simplify right side
    247.42x = 76,725.94
  5. Step 5: Solve for x
    x = 76,725.94/247.42
  6. Step 6: Final answer
    x = 310.10

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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.