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Finding the Fourth Proportional to 187.79, 280.70 and 163.22

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Solution

The fourth proportional to 187.79, 280.70 and 163.22 is: 243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.79 : 280.70 = 163.22 : x
  2. Step 2: Convert to fraction form
    187.79/280.70 = 163.22/x
  3. Step 3: Cross multiply
    187.79x = 280.70 × 163.22
  4. Step 4: Simplify right side
    187.79x = 45,815.04
  5. Step 5: Solve for x
    x = 45,815.04/187.79
  6. Step 6: Final answer
    x = 243.97

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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.