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Finding the Fourth Proportional to 277.58, 416.23 and 82.55

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Solution

The fourth proportional to 277.58, 416.23 and 82.55 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.58 : 416.23 = 82.55 : x
  2. Step 2: Convert to fraction form
    277.58/416.23 = 82.55/x
  3. Step 3: Cross multiply
    277.58x = 416.23 × 82.55
  4. Step 4: Simplify right side
    277.58x = 34,361.25
  5. Step 5: Solve for x
    x = 34,361.25/277.58
  6. Step 6: Final answer
    x = 123.79

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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.