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Finding the Fourth Proportional to 380.48, 570.51 and 160.97

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Solution

The fourth proportional to 380.48, 570.51 and 160.97 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.48 : 570.51 = 160.97 : x
  2. Step 2: Convert to fraction form
    380.48/570.51 = 160.97/x
  3. Step 3: Cross multiply
    380.48x = 570.51 × 160.97
  4. Step 4: Simplify right side
    380.48x = 91,832.14
  5. Step 5: Solve for x
    x = 91,832.14/380.48
  6. Step 6: Final answer
    x = 241.36

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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.