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Finding the Fourth Proportional to 378.75, 568.13 and 122.25

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Solution

The fourth proportional to 378.75, 568.13 and 122.25 is: 183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.75 : 568.13 = 122.25 : x
  2. Step 2: Convert to fraction form
    378.75/568.13 = 122.25/x
  3. Step 3: Cross multiply
    378.75x = 568.13 × 122.25
  4. Step 4: Simplify right side
    378.75x = 69,453.28
  5. Step 5: Solve for x
    x = 69,453.28/378.75
  6. Step 6: Final answer
    x = 183.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.