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Finding the Fourth Proportional to 191.82, 287.80 and 82.16

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Solution

The fourth proportional to 191.82, 287.80 and 82.16 is: 123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 287.80 = 82.16 : x
  2. Step 2: Convert to fraction form
    191.82/287.80 = 82.16/x
  3. Step 3: Cross multiply
    191.82x = 287.80 × 82.16
  4. Step 4: Simplify right side
    191.82x = 23,645.65
  5. Step 5: Solve for x
    x = 23,645.65/191.82
  6. Step 6: Final answer
    x = 123.27

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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.