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Finding the Fourth Proportional to 365.36, 547.97 and 191.88

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Solution

The fourth proportional to 365.36, 547.97 and 191.88 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.36 : 547.97 = 191.88 : x
  2. Step 2: Convert to fraction form
    365.36/547.97 = 191.88/x
  3. Step 3: Cross multiply
    365.36x = 547.97 × 191.88
  4. Step 4: Simplify right side
    365.36x = 105,143.52
  5. Step 5: Solve for x
    x = 105,143.52/365.36
  6. Step 6: Final answer
    x = 287.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.