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Finding the Fourth Proportional to 277.24, 381.90 and 215.14

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Solution

The fourth proportional to 277.24, 381.90 and 215.14 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 381.90 = 215.14 : x
  2. Step 2: Convert to fraction form
    277.24/381.90 = 215.14/x
  3. Step 3: Cross multiply
    277.24x = 381.90 × 215.14
  4. Step 4: Simplify right side
    277.24x = 82,161.97
  5. Step 5: Solve for x
    x = 82,161.97/277.24
  6. Step 6: Final answer
    x = 296.36

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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.