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Finding the Fourth Proportional to 191.82, 286.19 and 189.78

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Solution

The fourth proportional to 191.82, 286.19 and 189.78 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 286.19 = 189.78 : x
  2. Step 2: Convert to fraction form
    191.82/286.19 = 189.78/x
  3. Step 3: Cross multiply
    191.82x = 286.19 × 189.78
  4. Step 4: Simplify right side
    191.82x = 54,312.19
  5. Step 5: Solve for x
    x = 54,312.19/191.82
  6. Step 6: Final answer
    x = 283.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.