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Finding the Fourth Proportional to 286.19, 394.73 and 187.91

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Solution

The fourth proportional to 286.19, 394.73 and 187.91 is: 259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.19 : 394.73 = 187.91 : x
  2. Step 2: Convert to fraction form
    286.19/394.73 = 187.91/x
  3. Step 3: Cross multiply
    286.19x = 394.73 × 187.91
  4. Step 4: Simplify right side
    286.19x = 74,174.18
  5. Step 5: Solve for x
    x = 74,174.18/286.19
  6. Step 6: Final answer
    x = 259.18

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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.