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Finding the Fourth Proportional to 252.79, 378.81 and 194.81

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Solution

The fourth proportional to 252.79, 378.81 and 194.81 is: 291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.79 : 378.81 = 194.81 : x
  2. Step 2: Convert to fraction form
    252.79/378.81 = 194.81/x
  3. Step 3: Cross multiply
    252.79x = 378.81 × 194.81
  4. Step 4: Simplify right side
    252.79x = 73,794.08
  5. Step 5: Solve for x
    x = 73,794.08/252.79
  6. Step 6: Final answer
    x = 291.92

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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.