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Finding the Fourth Proportional to 277.80, 416.52 and 115.44

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Solution

The fourth proportional to 277.80, 416.52 and 115.44 is: 173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 416.52 = 115.44 : x
  2. Step 2: Convert to fraction form
    277.80/416.52 = 115.44/x
  3. Step 3: Cross multiply
    277.80x = 416.52 × 115.44
  4. Step 4: Simplify right side
    277.80x = 48,083.07
  5. Step 5: Solve for x
    x = 48,083.07/277.80
  6. Step 6: Final answer
    x = 173.09

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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.