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Finding the Fourth Proportional to 247, 370.22 and 138.86

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Solution

The fourth proportional to 247, 370.22 and 138.86 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    247 : 370.22 = 138.86 : x
  2. Step 2: Convert to fraction form
    247/370.22 = 138.86/x
  3. Step 3: Cross multiply
    247x = 370.22 × 138.86
  4. Step 4: Simplify right side
    247x = 51,408.75
  5. Step 5: Solve for x
    x = 51,408.75/247
  6. Step 6: Final answer
    x = 208.13

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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.