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Finding the Fourth Proportional to 380.78, 571.17 and 161.35

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Solution

The fourth proportional to 380.78, 571.17 and 161.35 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.78 : 571.17 = 161.35 : x
  2. Step 2: Convert to fraction form
    380.78/571.17 = 161.35/x
  3. Step 3: Cross multiply
    380.78x = 571.17 × 161.35
  4. Step 4: Simplify right side
    380.78x = 92,155.42
  5. Step 5: Solve for x
    x = 92,155.42/380.78
  6. Step 6: Final answer
    x = 242.02

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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.