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Finding the Fourth Proportional to 378.69, 568.11 and 135.18

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Solution

The fourth proportional to 378.69, 568.11 and 135.18 is: 202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.69 : 568.11 = 135.18 : x
  2. Step 2: Convert to fraction form
    378.69/568.11 = 135.18/x
  3. Step 3: Cross multiply
    378.69x = 568.11 × 135.18
  4. Step 4: Simplify right side
    378.69x = 76,797.11
  5. Step 5: Solve for x
    x = 76,797.11/378.69
  6. Step 6: Final answer
    x = 202.80

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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.