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Finding the Fourth Proportional to 290.17, 400.42 and 159.17

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Solution

The fourth proportional to 290.17, 400.42 and 159.17 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.17 : 400.42 = 159.17 : x
  2. Step 2: Convert to fraction form
    290.17/400.42 = 159.17/x
  3. Step 3: Cross multiply
    290.17x = 400.42 × 159.17
  4. Step 4: Simplify right side
    290.17x = 63,734.85
  5. Step 5: Solve for x
    x = 63,734.85/290.17
  6. Step 6: Final answer
    x = 219.65

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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.