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Finding the Fourth Proportional to 191.72, 264.84 and 182.61

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Solution

The fourth proportional to 191.72, 264.84 and 182.61 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.72 : 264.84 = 182.61 : x
  2. Step 2: Convert to fraction form
    191.72/264.84 = 182.61/x
  3. Step 3: Cross multiply
    191.72x = 264.84 × 182.61
  4. Step 4: Simplify right side
    191.72x = 48,361.75
  5. Step 5: Solve for x
    x = 48,361.75/191.72
  6. Step 6: Final answer
    x = 252.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.