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Finding the Fourth Proportional to 380.22, 570.29 and 160.94

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Solution

The fourth proportional to 380.22, 570.29 and 160.94 is: 241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 570.29 = 160.94 : x
  2. Step 2: Convert to fraction form
    380.22/570.29 = 160.94/x
  3. Step 3: Cross multiply
    380.22x = 570.29 × 160.94
  4. Step 4: Simplify right side
    380.22x = 91,778.82
  5. Step 5: Solve for x
    x = 91,778.82/380.22
  6. Step 6: Final answer
    x = 241.38

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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.