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Finding the Fourth Proportional to 191.62, 285.35 and 191.08

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Solution

The fourth proportional to 191.62, 285.35 and 191.08 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.62 : 285.35 = 191.08 : x
  2. Step 2: Convert to fraction form
    191.62/285.35 = 191.08/x
  3. Step 3: Cross multiply
    191.62x = 285.35 × 191.08
  4. Step 4: Simplify right side
    191.62x = 54,524.68
  5. Step 5: Solve for x
    x = 54,524.68/191.62
  6. Step 6: Final answer
    x = 284.55

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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.