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Finding the Fourth Proportional to 286.64, 395.43 and 174.59

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Solution

The fourth proportional to 286.64, 395.43 and 174.59 is: 240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 395.43 = 174.59 : x
  2. Step 2: Convert to fraction form
    286.64/395.43 = 174.59/x
  3. Step 3: Cross multiply
    286.64x = 395.43 × 174.59
  4. Step 4: Simplify right side
    286.64x = 69,036.15
  5. Step 5: Solve for x
    x = 69,036.15/286.64
  6. Step 6: Final answer
    x = 240.85

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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.