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Finding the Fourth Proportional to 191.77, 287.82 and 105.19

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Solution

The fourth proportional to 191.77, 287.82 and 105.19 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.77 : 287.82 = 105.19 : x
  2. Step 2: Convert to fraction form
    191.77/287.82 = 105.19/x
  3. Step 3: Cross multiply
    191.77x = 287.82 × 105.19
  4. Step 4: Simplify right side
    191.77x = 30,275.79
  5. Step 5: Solve for x
    x = 30,275.79/191.77
  6. Step 6: Final answer
    x = 157.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.