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Finding the Fourth Proportional to 252.64, 378.74 and 122.68

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Solution

The fourth proportional to 252.64, 378.74 and 122.68 is: 183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.64 : 378.74 = 122.68 : x
  2. Step 2: Convert to fraction form
    252.64/378.74 = 122.68/x
  3. Step 3: Cross multiply
    252.64x = 378.74 × 122.68
  4. Step 4: Simplify right side
    252.64x = 46,462.49
  5. Step 5: Solve for x
    x = 46,462.49/252.64
  6. Step 6: Final answer
    x = 183.90

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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.