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Finding the Fourth Proportional to 191.55, 286.94 and 145.35

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Solution

The fourth proportional to 191.55, 286.94 and 145.35 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.55 : 286.94 = 145.35 : x
  2. Step 2: Convert to fraction form
    191.55/286.94 = 145.35/x
  3. Step 3: Cross multiply
    191.55x = 286.94 × 145.35
  4. Step 4: Simplify right side
    191.55x = 41,706.73
  5. Step 5: Solve for x
    x = 41,706.73/191.55
  6. Step 6: Final answer
    x = 217.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.