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Finding the Fourth Proportional to 277.48, 382.92 and 161.05

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Solution

The fourth proportional to 277.48, 382.92 and 161.05 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 382.92 = 161.05 : x
  2. Step 2: Convert to fraction form
    277.48/382.92 = 161.05/x
  3. Step 3: Cross multiply
    277.48x = 382.92 × 161.05
  4. Step 4: Simplify right side
    277.48x = 61,669.27
  5. Step 5: Solve for x
    x = 61,669.27/277.48
  6. Step 6: Final answer
    x = 222.25

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Why These Related Problems?

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