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Finding the Fourth Proportional to 277.14, 382.47 and 160.71

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Solution

The fourth proportional to 277.14, 382.47 and 160.71 is: 221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.14 : 382.47 = 160.71 : x
  2. Step 2: Convert to fraction form
    277.14/382.47 = 160.71/x
  3. Step 3: Cross multiply
    277.14x = 382.47 × 160.71
  4. Step 4: Simplify right side
    277.14x = 61,466.75
  5. Step 5: Solve for x
    x = 61,466.75/277.14
  6. Step 6: Final answer
    x = 221.79

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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.