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Finding the Fourth Proportional to 247.22, 370.82 and 145.22

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Solution

The fourth proportional to 247.22, 370.82 and 145.22 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.22 : 370.82 = 145.22 : x
  2. Step 2: Convert to fraction form
    247.22/370.82 = 145.22/x
  3. Step 3: Cross multiply
    247.22x = 370.82 × 145.22
  4. Step 4: Simplify right side
    247.22x = 53,850.48
  5. Step 5: Solve for x
    x = 53,850.48/247.22
  6. Step 6: Final answer
    x = 217.82

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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.