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Finding the Fourth Proportional to 378.45, 567.81 and 162.09

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Solution

The fourth proportional to 378.45, 567.81 and 162.09 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 567.81 = 162.09 : x
  2. Step 2: Convert to fraction form
    378.45/567.81 = 162.09/x
  3. Step 3: Cross multiply
    378.45x = 567.81 × 162.09
  4. Step 4: Simplify right side
    378.45x = 92,036.32
  5. Step 5: Solve for x
    x = 92,036.32/378.45
  6. Step 6: Final answer
    x = 243.19

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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.