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Finding the Fourth Proportional to 187.92, 283.23 and 179.82

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Solution

The fourth proportional to 187.92, 283.23 and 179.82 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 283.23 = 179.82 : x
  2. Step 2: Convert to fraction form
    187.92/283.23 = 179.82/x
  3. Step 3: Cross multiply
    187.92x = 283.23 × 179.82
  4. Step 4: Simplify right side
    187.92x = 50,930.42
  5. Step 5: Solve for x
    x = 50,930.42/187.92
  6. Step 6: Final answer
    x = 271.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.