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Finding the Fourth Proportional to 286.71, 395.65 and 188.29

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Solution

The fourth proportional to 286.71, 395.65 and 188.29 is: 259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.71 : 395.65 = 188.29 : x
  2. Step 2: Convert to fraction form
    286.71/395.65 = 188.29/x
  3. Step 3: Cross multiply
    286.71x = 395.65 × 188.29
  4. Step 4: Simplify right side
    286.71x = 74,496.94
  5. Step 5: Solve for x
    x = 74,496.94/286.71
  6. Step 6: Final answer
    x = 259.83

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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.