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Finding the Fourth Proportional to 378.18, 567.36 and 158.85

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Solution

The fourth proportional to 378.18, 567.36 and 158.85 is: 238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.18 : 567.36 = 158.85 : x
  2. Step 2: Convert to fraction form
    378.18/567.36 = 158.85/x
  3. Step 3: Cross multiply
    378.18x = 567.36 × 158.85
  4. Step 4: Simplify right side
    378.18x = 90,125.14
  5. Step 5: Solve for x
    x = 90,125.14/378.18
  6. Step 6: Final answer
    x = 238.31

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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.