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Finding the Fourth Proportional to 277.08, 381.84 and 227.80

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Solution

The fourth proportional to 277.08, 381.84 and 227.80 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.08 : 381.84 = 227.80 : x
  2. Step 2: Convert to fraction form
    277.08/381.84 = 227.80/x
  3. Step 3: Cross multiply
    277.08x = 381.84 × 227.80
  4. Step 4: Simplify right side
    277.08x = 86,983.15
  5. Step 5: Solve for x
    x = 86,983.15/277.08
  6. Step 6: Final answer
    x = 313.93

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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.