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Finding the Fourth Proportional to 378.23, 567.39 and 161.78

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Solution

The fourth proportional to 378.23, 567.39 and 161.78 is: 242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.23 : 567.39 = 161.78 : x
  2. Step 2: Convert to fraction form
    378.23/567.39 = 161.78/x
  3. Step 3: Cross multiply
    378.23x = 567.39 × 161.78
  4. Step 4: Simplify right side
    378.23x = 91,792.35
  5. Step 5: Solve for x
    x = 91,792.35/378.23
  6. Step 6: Final answer
    x = 242.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.