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Finding the Fourth Proportional to 277.92, 383.49 and 161.46

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Solution

The fourth proportional to 277.92, 383.49 and 161.46 is: 222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.92 : 383.49 = 161.46 : x
  2. Step 2: Convert to fraction form
    277.92/383.49 = 161.46/x
  3. Step 3: Cross multiply
    277.92x = 383.49 × 161.46
  4. Step 4: Simplify right side
    277.92x = 61,918.30
  5. Step 5: Solve for x
    x = 61,918.30/277.92
  6. Step 6: Final answer
    x = 222.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.