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Finding the Fourth Proportional to 185.82, 256.56 and 142.08

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Solution

The fourth proportional to 185.82, 256.56 and 142.08 is: 196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 256.56 = 142.08 : x
  2. Step 2: Convert to fraction form
    185.82/256.56 = 142.08/x
  3. Step 3: Cross multiply
    185.82x = 256.56 × 142.08
  4. Step 4: Simplify right side
    185.82x = 36,452.04
  5. Step 5: Solve for x
    x = 36,452.04/185.82
  6. Step 6: Final answer
    x = 196.17

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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.