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Finding the Fourth Proportional to 207.66, 286.68 and 160.94

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Solution

The fourth proportional to 207.66, 286.68 and 160.94 is: 222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 286.68 = 160.94 : x
  2. Step 2: Convert to fraction form
    207.66/286.68 = 160.94/x
  3. Step 3: Cross multiply
    207.66x = 286.68 × 160.94
  4. Step 4: Simplify right side
    207.66x = 46,136.85
  5. Step 5: Solve for x
    x = 46,136.85/207.66
  6. Step 6: Final answer
    x = 222.17

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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.