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Finding the Fourth Proportional to 185.78, 256.61 and 142.64

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Solution

The fourth proportional to 185.78, 256.61 and 142.64 is: 197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 256.61 = 142.64 : x
  2. Step 2: Convert to fraction form
    185.78/256.61 = 142.64/x
  3. Step 3: Cross multiply
    185.78x = 256.61 × 142.64
  4. Step 4: Simplify right side
    185.78x = 36,603.85
  5. Step 5: Solve for x
    x = 36,603.85/185.78
  6. Step 6: Final answer
    x = 197.03

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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.