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Finding the Fourth Proportional to 252.43, 378.74 and 122.42

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Solution

The fourth proportional to 252.43, 378.74 and 122.42 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.43 : 378.74 = 122.42 : x
  2. Step 2: Convert to fraction form
    252.43/378.74 = 122.42/x
  3. Step 3: Cross multiply
    252.43x = 378.74 × 122.42
  4. Step 4: Simplify right side
    252.43x = 46,364.95
  5. Step 5: Solve for x
    x = 46,364.95/252.43
  6. Step 6: Final answer
    x = 183.68

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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.