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Finding the Fourth Proportional to 247.55, 341.42 and 160.07

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Solution

The fourth proportional to 247.55, 341.42 and 160.07 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.55 : 341.42 = 160.07 : x
  2. Step 2: Convert to fraction form
    247.55/341.42 = 160.07/x
  3. Step 3: Cross multiply
    247.55x = 341.42 × 160.07
  4. Step 4: Simplify right side
    247.55x = 54,648.59
  5. Step 5: Solve for x
    x = 54,648.59/247.55
  6. Step 6: Final answer
    x = 220.76

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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.