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Finding the Fourth Proportional to 194.68, 268.42 and 157.72

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Solution

The fourth proportional to 194.68, 268.42 and 157.72 is: 217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.68 : 268.42 = 157.72 : x
  2. Step 2: Convert to fraction form
    194.68/268.42 = 157.72/x
  3. Step 3: Cross multiply
    194.68x = 268.42 × 157.72
  4. Step 4: Simplify right side
    194.68x = 42,335.20
  5. Step 5: Solve for x
    x = 42,335.20/194.68
  6. Step 6: Final answer
    x = 217.46

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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.