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Finding the Fourth Proportional to 286.19, 395.12 and 188.11

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Solution

The fourth proportional to 286.19, 395.12 and 188.11 is: 259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.19 : 395.12 = 188.11 : x
  2. Step 2: Convert to fraction form
    286.19/395.12 = 188.11/x
  3. Step 3: Cross multiply
    286.19x = 395.12 × 188.11
  4. Step 4: Simplify right side
    286.19x = 74,326.99
  5. Step 5: Solve for x
    x = 74,326.99/286.19
  6. Step 6: Final answer
    x = 259.71

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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.