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Finding the Fourth Proportional to 290.58, 401 and 159.59

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Solution

The fourth proportional to 290.58, 401 and 159.59 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 401 = 159.59 : x
  2. Step 2: Convert to fraction form
    290.58/401 = 159.59/x
  3. Step 3: Cross multiply
    290.58x = 401 × 159.59
  4. Step 4: Simplify right side
    290.58x = 63,995.59
  5. Step 5: Solve for x
    x = 63,995.59/290.58
  6. Step 6: Final answer
    x = 220.23

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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.