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Finding the Fourth Proportional to 207.66, 286.62 and 120.38

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Solution

The fourth proportional to 207.66, 286.62 and 120.38 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 286.62 = 120.38 : x
  2. Step 2: Convert to fraction form
    207.66/286.62 = 120.38/x
  3. Step 3: Cross multiply
    207.66x = 286.62 × 120.38
  4. Step 4: Simplify right side
    207.66x = 34,503.32
  5. Step 5: Solve for x
    x = 34,503.32/207.66
  6. Step 6: Final answer
    x = 166.15

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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.