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Finding the Fourth Proportional to 290.57, 400.97 and 159.57

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Solution

The fourth proportional to 290.57, 400.97 and 159.57 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.57 : 400.97 = 159.57 : x
  2. Step 2: Convert to fraction form
    290.57/400.97 = 159.57/x
  3. Step 3: Cross multiply
    290.57x = 400.97 × 159.57
  4. Step 4: Simplify right side
    290.57x = 63,982.78
  5. Step 5: Solve for x
    x = 63,982.78/290.57
  6. Step 6: Final answer
    x = 220.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.