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Finding the Fourth Proportional to 191.84, 287.75 and 111.19

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Solution

The fourth proportional to 191.84, 287.75 and 111.19 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.84 : 287.75 = 111.19 : x
  2. Step 2: Convert to fraction form
    191.84/287.75 = 111.19/x
  3. Step 3: Cross multiply
    191.84x = 287.75 × 111.19
  4. Step 4: Simplify right side
    191.84x = 31,995.02
  5. Step 5: Solve for x
    x = 31,995.02/191.84
  6. Step 6: Final answer
    x = 166.78

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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.