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Finding the Fourth Proportional to 290.14, 400.41 and 159.15

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Solution

The fourth proportional to 290.14, 400.41 and 159.15 is: 219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.14 : 400.41 = 159.15 : x
  2. Step 2: Convert to fraction form
    290.14/400.41 = 159.15/x
  3. Step 3: Cross multiply
    290.14x = 400.41 × 159.15
  4. Step 4: Simplify right side
    290.14x = 63,725.52
  5. Step 5: Solve for x
    x = 63,725.52/290.14
  6. Step 6: Final answer
    x = 219.63

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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.