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Finding the Fourth Proportional to 277.44, 415.86 and 112.78

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Solution

The fourth proportional to 277.44, 415.86 and 112.78 is: 169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 415.86 = 112.78 : x
  2. Step 2: Convert to fraction form
    277.44/415.86 = 112.78/x
  3. Step 3: Cross multiply
    277.44x = 415.86 × 112.78
  4. Step 4: Simplify right side
    277.44x = 46,900.69
  5. Step 5: Solve for x
    x = 46,900.69/277.44
  6. Step 6: Final answer
    x = 169.05

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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.