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Finding the Fourth Proportional to 247.73, 342 and 160.55

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Solution

The fourth proportional to 247.73, 342 and 160.55 is: 221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.73 : 342 = 160.55 : x
  2. Step 2: Convert to fraction form
    247.73/342 = 160.55/x
  3. Step 3: Cross multiply
    247.73x = 342 × 160.55
  4. Step 4: Simplify right side
    247.73x = 54,906.39
  5. Step 5: Solve for x
    x = 54,906.39/247.73
  6. Step 6: Final answer
    x = 221.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.