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Finding the Fourth Proportional to 290.92, 435.96 and 160.97

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Solution

The fourth proportional to 290.92, 435.96 and 160.97 is: 241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.92 : 435.96 = 160.97 : x
  2. Step 2: Convert to fraction form
    290.92/435.96 = 160.97/x
  3. Step 3: Cross multiply
    290.92x = 435.96 × 160.97
  4. Step 4: Simplify right side
    290.92x = 70,179.16
  5. Step 5: Solve for x
    x = 70,179.16/290.92
  6. Step 6: Final answer
    x = 241.23

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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.