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Finding the Fourth Proportional to 207.48, 286.38 and 160.78

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Solution

The fourth proportional to 207.48, 286.38 and 160.78 is: 221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.48 : 286.38 = 160.78 : x
  2. Step 2: Convert to fraction form
    207.48/286.38 = 160.78/x
  3. Step 3: Cross multiply
    207.48x = 286.38 × 160.78
  4. Step 4: Simplify right side
    207.48x = 46,044.18
  5. Step 5: Solve for x
    x = 46,044.18/207.48
  6. Step 6: Final answer
    x = 221.92

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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.