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Finding the Fourth Proportional to 277.92, 382.56 and 226.08

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Solution

The fourth proportional to 277.92, 382.56 and 226.08 is: 311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.92 : 382.56 = 226.08 : x
  2. Step 2: Convert to fraction form
    277.92/382.56 = 226.08/x
  3. Step 3: Cross multiply
    277.92x = 382.56 × 226.08
  4. Step 4: Simplify right side
    277.92x = 86,489.16
  5. Step 5: Solve for x
    x = 86,489.16/277.92
  6. Step 6: Final answer
    x = 311.20

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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.