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Finding the Fourth Proportional to 286.28, 395.10 and 187.96

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Solution

The fourth proportional to 286.28, 395.10 and 187.96 is: 259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.28 : 395.10 = 187.96 : x
  2. Step 2: Convert to fraction form
    286.28/395.10 = 187.96/x
  3. Step 3: Cross multiply
    286.28x = 395.10 × 187.96
  4. Step 4: Simplify right side
    286.28x = 74,263.00
  5. Step 5: Solve for x
    x = 74,263.00/286.28
  6. Step 6: Final answer
    x = 259.41

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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.