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Finding the Fourth Proportional to 378.45, 567.68 and 162.18

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Solution

The fourth proportional to 378.45, 567.68 and 162.18 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 567.68 = 162.18 : x
  2. Step 2: Convert to fraction form
    378.45/567.68 = 162.18/x
  3. Step 3: Cross multiply
    378.45x = 567.68 × 162.18
  4. Step 4: Simplify right side
    378.45x = 92,065.53
  5. Step 5: Solve for x
    x = 92,065.53/378.45
  6. Step 6: Final answer
    x = 243.27

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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.