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Finding the Fourth Proportional to 191.82, 285.78 and 185.19

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Solution

The fourth proportional to 191.82, 285.78 and 185.19 is: 275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 285.78 = 185.19 : x
  2. Step 2: Convert to fraction form
    191.82/285.78 = 185.19/x
  3. Step 3: Cross multiply
    191.82x = 285.78 × 185.19
  4. Step 4: Simplify right side
    191.82x = 52,922.18
  5. Step 5: Solve for x
    x = 52,922.18/191.82
  6. Step 6: Final answer
    x = 275.90

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