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Finding the Fourth Proportional to 277.97, 416.83 and 82.91

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Solution

The fourth proportional to 277.97, 416.83 and 82.91 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 416.83 = 82.91 : x
  2. Step 2: Convert to fraction form
    277.97/416.83 = 82.91/x
  3. Step 3: Cross multiply
    277.97x = 416.83 × 82.91
  4. Step 4: Simplify right side
    277.97x = 34,558.02
  5. Step 5: Solve for x
    x = 34,558.02/277.97
  6. Step 6: Final answer
    x = 124.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.