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Finding the Fourth Proportional to 191.94, 286.01 and 182.65

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Solution

The fourth proportional to 191.94, 286.01 and 182.65 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.94 : 286.01 = 182.65 : x
  2. Step 2: Convert to fraction form
    191.94/286.01 = 182.65/x
  3. Step 3: Cross multiply
    191.94x = 286.01 × 182.65
  4. Step 4: Simplify right side
    191.94x = 52,238.10
  5. Step 5: Solve for x
    x = 52,238.10/191.94
  6. Step 6: Final answer
    x = 272.16

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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.