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Finding the Fourth Proportional to 185.70, 256.36 and 142.22

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Solution

The fourth proportional to 185.70, 256.36 and 142.22 is: 196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.70 : 256.36 = 142.22 : x
  2. Step 2: Convert to fraction form
    185.70/256.36 = 142.22/x
  3. Step 3: Cross multiply
    185.70x = 256.36 × 142.22
  4. Step 4: Simplify right side
    185.70x = 36,459.52
  5. Step 5: Solve for x
    x = 36,459.52/185.70
  6. Step 6: Final answer
    x = 196.34

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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.