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Finding the Fourth Proportional to 185.86, 256.49 and 107.18

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Solution

The fourth proportional to 185.86, 256.49 and 107.18 is: 147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 256.49 = 107.18 : x
  2. Step 2: Convert to fraction form
    185.86/256.49 = 107.18/x
  3. Step 3: Cross multiply
    185.86x = 256.49 × 107.18
  4. Step 4: Simplify right side
    185.86x = 27,490.14
  5. Step 5: Solve for x
    x = 27,490.14/185.86
  6. Step 6: Final answer
    x = 147.91

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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.