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Finding the Fourth Proportional to 194.32, 267.34 and 188.85

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Solution

The fourth proportional to 194.32, 267.34 and 188.85 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 267.34 = 188.85 : x
  2. Step 2: Convert to fraction form
    194.32/267.34 = 188.85/x
  3. Step 3: Cross multiply
    194.32x = 267.34 × 188.85
  4. Step 4: Simplify right side
    194.32x = 50,487.16
  5. Step 5: Solve for x
    x = 50,487.16/194.32
  6. Step 6: Final answer
    x = 259.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.