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Finding the Fourth Proportional to 187.82, 280.97 and 162.41

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Solution

The fourth proportional to 187.82, 280.97 and 162.41 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.82 : 280.97 = 162.41 : x
  2. Step 2: Convert to fraction form
    187.82/280.97 = 162.41/x
  3. Step 3: Cross multiply
    187.82x = 280.97 × 162.41
  4. Step 4: Simplify right side
    187.82x = 45,631.78
  5. Step 5: Solve for x
    x = 45,631.78/187.82
  6. Step 6: Final answer
    x = 242.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.