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Finding the Fourth Proportional to 237.46, 355.78 and 191.83

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Solution

The fourth proportional to 237.46, 355.78 and 191.83 is: 287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.46 : 355.78 = 191.83 : x
  2. Step 2: Convert to fraction form
    237.46/355.78 = 191.83/x
  3. Step 3: Cross multiply
    237.46x = 355.78 × 191.83
  4. Step 4: Simplify right side
    237.46x = 68,249.28
  5. Step 5: Solve for x
    x = 68,249.28/237.46
  6. Step 6: Final answer
    x = 287.41

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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.