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Finding the Fourth Proportional to 378.44, 567.74 and 122.12

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Solution

The fourth proportional to 378.44, 567.74 and 122.12 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 567.74 = 122.12 : x
  2. Step 2: Convert to fraction form
    378.44/567.74 = 122.12/x
  3. Step 3: Cross multiply
    378.44x = 567.74 × 122.12
  4. Step 4: Simplify right side
    378.44x = 69,332.41
  5. Step 5: Solve for x
    x = 69,332.41/378.44
  6. Step 6: Final answer
    x = 183.21

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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.