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Finding the Fourth Proportional to 191.92, 264.95 and 133.78

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Solution

The fourth proportional to 191.92, 264.95 and 133.78 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.92 : 264.95 = 133.78 : x
  2. Step 2: Convert to fraction form
    191.92/264.95 = 133.78/x
  3. Step 3: Cross multiply
    191.92x = 264.95 × 133.78
  4. Step 4: Simplify right side
    191.92x = 35,445.01
  5. Step 5: Solve for x
    x = 35,445.01/191.92
  6. Step 6: Final answer
    x = 184.69

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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.