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Finding the Fourth Proportional to 185.82, 256.31 and 120.40

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Solution

The fourth proportional to 185.82, 256.31 and 120.40 is: 166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 256.31 = 120.40 : x
  2. Step 2: Convert to fraction form
    185.82/256.31 = 120.40/x
  3. Step 3: Cross multiply
    185.82x = 256.31 × 120.40
  4. Step 4: Simplify right side
    185.82x = 30,859.72
  5. Step 5: Solve for x
    x = 30,859.72/185.82
  6. Step 6: Final answer
    x = 166.07

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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.