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Finding the Fourth Proportional to 194.56, 267.70 and 155.24

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Solution

The fourth proportional to 194.56, 267.70 and 155.24 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.56 : 267.70 = 155.24 : x
  2. Step 2: Convert to fraction form
    194.56/267.70 = 155.24/x
  3. Step 3: Cross multiply
    194.56x = 267.70 × 155.24
  4. Step 4: Simplify right side
    194.56x = 41,557.75
  5. Step 5: Solve for x
    x = 41,557.75/194.56
  6. Step 6: Final answer
    x = 213.60

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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.