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Finding the Fourth Proportional to 290.54, 400.96 and 159.55

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Solution

The fourth proportional to 290.54, 400.96 and 159.55 is: 220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.54 : 400.96 = 159.55 : x
  2. Step 2: Convert to fraction form
    290.54/400.96 = 159.55/x
  3. Step 3: Cross multiply
    290.54x = 400.96 × 159.55
  4. Step 4: Simplify right side
    290.54x = 63,973.72
  5. Step 5: Solve for x
    x = 63,973.72/290.54
  6. Step 6: Final answer
    x = 220.19

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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.