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Finding the Fourth Proportional to 277.44, 416.03 and 82.37

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Solution

The fourth proportional to 277.44, 416.03 and 82.37 is: 123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 416.03 = 82.37 : x
  2. Step 2: Convert to fraction form
    277.44/416.03 = 82.37/x
  3. Step 3: Cross multiply
    277.44x = 416.03 × 82.37
  4. Step 4: Simplify right side
    277.44x = 34,265.90
  5. Step 5: Solve for x
    x = 34,265.90/277.44
  6. Step 6: Final answer
    x = 123.51

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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.