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Finding the Fourth Proportional to 191.78, 264.49 and 142.77

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Solution

The fourth proportional to 191.78, 264.49 and 142.77 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.78 : 264.49 = 142.77 : x
  2. Step 2: Convert to fraction form
    191.78/264.49 = 142.77/x
  3. Step 3: Cross multiply
    191.78x = 264.49 × 142.77
  4. Step 4: Simplify right side
    191.78x = 37,760.88
  5. Step 5: Solve for x
    x = 37,760.88/191.78
  6. Step 6: Final answer
    x = 196.90

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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.