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Finding the Fourth Proportional to 290.75, 401.25 and 159.77

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Solution

The fourth proportional to 290.75, 401.25 and 159.77 is: 220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.75 : 401.25 = 159.77 : x
  2. Step 2: Convert to fraction form
    290.75/401.25 = 159.77/x
  3. Step 3: Cross multiply
    290.75x = 401.25 × 159.77
  4. Step 4: Simplify right side
    290.75x = 64,105.71
  5. Step 5: Solve for x
    x = 64,105.71/290.75
  6. Step 6: Final answer
    x = 220.48

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