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Finding the Fourth Proportional to 277.38, 416.22 and 161.92

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Solution

The fourth proportional to 277.38, 416.22 and 161.92 is: 242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 416.22 = 161.92 : x
  2. Step 2: Convert to fraction form
    277.38/416.22 = 161.92/x
  3. Step 3: Cross multiply
    277.38x = 416.22 × 161.92
  4. Step 4: Simplify right side
    277.38x = 67,394.34
  5. Step 5: Solve for x
    x = 67,394.34/277.38
  6. Step 6: Final answer
    x = 242.97

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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.