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Finding the Fourth Proportional to 277.11, 415.22 and 190.15

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Solution

The fourth proportional to 277.11, 415.22 and 190.15 is: 284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 415.22 = 190.15 : x
  2. Step 2: Convert to fraction form
    277.11/415.22 = 190.15/x
  3. Step 3: Cross multiply
    277.11x = 415.22 × 190.15
  4. Step 4: Simplify right side
    277.11x = 78,954.08
  5. Step 5: Solve for x
    x = 78,954.08/277.11
  6. Step 6: Final answer
    x = 284.92

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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.