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Finding the Fourth Proportional to 272.64, 377.88 and 268.96

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Solution

The fourth proportional to 272.64, 377.88 and 268.96 is: 372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.64 : 377.88 = 268.96 : x
  2. Step 2: Convert to fraction form
    272.64/377.88 = 268.96/x
  3. Step 3: Cross multiply
    272.64x = 377.88 × 268.96
  4. Step 4: Simplify right side
    272.64x = 101,634.60
  5. Step 5: Solve for x
    x = 101,634.60/272.64
  6. Step 6: Final answer
    x = 372.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.