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Finding the Fourth Proportional to 277.30, 382.68 and 160.86

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Solution

The fourth proportional to 277.30, 382.68 and 160.86 is: 221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.30 : 382.68 = 160.86 : x
  2. Step 2: Convert to fraction form
    277.30/382.68 = 160.86/x
  3. Step 3: Cross multiply
    277.30x = 382.68 × 160.86
  4. Step 4: Simplify right side
    277.30x = 61,557.90
  5. Step 5: Solve for x
    x = 61,557.90/277.30
  6. Step 6: Final answer
    x = 221.99

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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.