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Finding the Fourth Proportional to 277.10, 381.98 and 227.89

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Solution

The fourth proportional to 277.10, 381.98 and 227.89 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.10 : 381.98 = 227.89 : x
  2. Step 2: Convert to fraction form
    277.10/381.98 = 227.89/x
  3. Step 3: Cross multiply
    277.10x = 381.98 × 227.89
  4. Step 4: Simplify right side
    277.10x = 87,048.28
  5. Step 5: Solve for x
    x = 87,048.28/277.10
  6. Step 6: Final answer
    x = 314.14

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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.