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Finding the Fourth Proportional to 277.80, 415.80 and 226.56

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Solution

The fourth proportional to 277.80, 415.80 and 226.56 is: 339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 415.80 = 226.56 : x
  2. Step 2: Convert to fraction form
    277.80/415.80 = 226.56/x
  3. Step 3: Cross multiply
    277.80x = 415.80 × 226.56
  4. Step 4: Simplify right side
    277.80x = 94,203.65
  5. Step 5: Solve for x
    x = 94,203.65/277.80
  6. Step 6: Final answer
    x = 339.11

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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.