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Finding the Fourth Proportional to 207.81, 286.82 and 130.14

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Solution

The fourth proportional to 207.81, 286.82 and 130.14 is: 179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.81 : 286.82 = 130.14 : x
  2. Step 2: Convert to fraction form
    207.81/286.82 = 130.14/x
  3. Step 3: Cross multiply
    207.81x = 286.82 × 130.14
  4. Step 4: Simplify right side
    207.81x = 37,326.10
  5. Step 5: Solve for x
    x = 37,326.10/207.81
  6. Step 6: Final answer
    x = 179.62

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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.