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Finding the Fourth Proportional to 277.48, 381.54 and 250.75

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Solution

The fourth proportional to 277.48, 381.54 and 250.75 is: 344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 381.54 = 250.75 : x
  2. Step 2: Convert to fraction form
    277.48/381.54 = 250.75/x
  3. Step 3: Cross multiply
    277.48x = 381.54 × 250.75
  4. Step 4: Simplify right side
    277.48x = 95,671.16
  5. Step 5: Solve for x
    x = 95,671.16/277.48
  6. Step 6: Final answer
    x = 344.79

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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.