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Finding the Fourth Proportional to 247.93, 371.48 and 161.16

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Solution

The fourth proportional to 247.93, 371.48 and 161.16 is: 241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.93 : 371.48 = 161.16 : x
  2. Step 2: Convert to fraction form
    247.93/371.48 = 161.16/x
  3. Step 3: Cross multiply
    247.93x = 371.48 × 161.16
  4. Step 4: Simplify right side
    247.93x = 59,865.86
  5. Step 5: Solve for x
    x = 59,865.86/247.93
  6. Step 6: Final answer
    x = 241.46

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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.