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Finding the Fourth Proportional to 378.23, 567.34 and 158.69

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Solution

The fourth proportional to 378.23, 567.34 and 158.69 is: 238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 567.34 = 158.69 : x
  2. Step 2: Convert to fraction form
    378.23/567.34 = 158.69/x
  3. Step 3: Cross multiply
    378.23x = 567.34 × 158.69
  4. Step 4: Simplify right side
    378.23x = 90,032.21
  5. Step 5: Solve for x
    x = 90,032.21/378.23
  6. Step 6: Final answer
    x = 238.04

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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.