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Finding the Fourth Proportional to 207.61, 286.03 and 160.82

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Solution

The fourth proportional to 207.61, 286.03 and 160.82 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.61 : 286.03 = 160.82 : x
  2. Step 2: Convert to fraction form
    207.61/286.03 = 160.82/x
  3. Step 3: Cross multiply
    207.61x = 286.03 × 160.82
  4. Step 4: Simplify right side
    207.61x = 45,997.51
  5. Step 5: Solve for x
    x = 45,997.51/207.61
  6. Step 6: Final answer
    x = 221.56

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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.