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Finding the Fourth Proportional to 286.28, 394.83 and 188.13

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Solution

The fourth proportional to 286.28, 394.83 and 188.13 is: 259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.28 : 394.83 = 188.13 : x
  2. Step 2: Convert to fraction form
    286.28/394.83 = 188.13/x
  3. Step 3: Cross multiply
    286.28x = 394.83 × 188.13
  4. Step 4: Simplify right side
    286.28x = 74,279.37
  5. Step 5: Solve for x
    x = 74,279.37/286.28
  6. Step 6: Final answer
    x = 259.47

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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.