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Finding the Fourth Proportional to 207.78, 286.71 and 130.20

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Solution

The fourth proportional to 207.78, 286.71 and 130.20 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.78 : 286.71 = 130.20 : x
  2. Step 2: Convert to fraction form
    207.78/286.71 = 130.20/x
  3. Step 3: Cross multiply
    207.78x = 286.71 × 130.20
  4. Step 4: Simplify right side
    207.78x = 37,329.64
  5. Step 5: Solve for x
    x = 37,329.64/207.78
  6. Step 6: Final answer
    x = 179.66

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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.