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Finding the Fourth Proportional to 191.93, 286.17 and 181.67

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Solution

The fourth proportional to 191.93, 286.17 and 181.67 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.93 : 286.17 = 181.67 : x
  2. Step 2: Convert to fraction form
    191.93/286.17 = 181.67/x
  3. Step 3: Cross multiply
    191.93x = 286.17 × 181.67
  4. Step 4: Simplify right side
    191.93x = 51,987.07
  5. Step 5: Solve for x
    x = 51,987.07/191.93
  6. Step 6: Final answer
    x = 270.87

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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.