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Finding the Fourth Proportional to 277.38, 382.80 and 160.96

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Solution

The fourth proportional to 277.38, 382.80 and 160.96 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 382.80 = 160.96 : x
  2. Step 2: Convert to fraction form
    277.38/382.80 = 160.96/x
  3. Step 3: Cross multiply
    277.38x = 382.80 × 160.96
  4. Step 4: Simplify right side
    277.38x = 61,615.49
  5. Step 5: Solve for x
    x = 61,615.49/277.38
  6. Step 6: Final answer
    x = 222.13

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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.