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Finding the Fourth Proportional to 190.41, 263.86 and 178.85

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Solution

The fourth proportional to 190.41, 263.86 and 178.85 is: 247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.41 : 263.86 = 178.85 : x
  2. Step 2: Convert to fraction form
    190.41/263.86 = 178.85/x
  3. Step 3: Cross multiply
    190.41x = 263.86 × 178.85
  4. Step 4: Simplify right side
    190.41x = 47,191.36
  5. Step 5: Solve for x
    x = 47,191.36/190.41
  6. Step 6: Final answer
    x = 247.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.