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Finding the Fourth Proportional to 185.98, 256.38 and 142.24

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Solution

The fourth proportional to 185.98, 256.38 and 142.24 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.98 : 256.38 = 142.24 : x
  2. Step 2: Convert to fraction form
    185.98/256.38 = 142.24/x
  3. Step 3: Cross multiply
    185.98x = 256.38 × 142.24
  4. Step 4: Simplify right side
    185.98x = 36,467.49
  5. Step 5: Solve for x
    x = 36,467.49/185.98
  6. Step 6: Final answer
    x = 196.08

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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.