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Finding the Fourth Proportional to 247.80, 370.97 and 160.93

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Solution

The fourth proportional to 247.80, 370.97 and 160.93 is: 240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.80 : 370.97 = 160.93 : x
  2. Step 2: Convert to fraction form
    247.80/370.97 = 160.93/x
  3. Step 3: Cross multiply
    247.80x = 370.97 × 160.93
  4. Step 4: Simplify right side
    247.80x = 59,700.20
  5. Step 5: Solve for x
    x = 59,700.20/247.80
  6. Step 6: Final answer
    x = 240.92

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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.