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Finding the Fourth Proportional to 378.56, 568.02 and 162.20

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Solution

The fourth proportional to 378.56, 568.02 and 162.20 is: 243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.56 : 568.02 = 162.20 : x
  2. Step 2: Convert to fraction form
    378.56/568.02 = 162.20/x
  3. Step 3: Cross multiply
    378.56x = 568.02 × 162.20
  4. Step 4: Simplify right side
    378.56x = 92,132.84
  5. Step 5: Solve for x
    x = 92,132.84/378.56
  6. Step 6: Final answer
    x = 243.38

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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.