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Finding the Fourth Proportional to 290.59, 401.02 and 159.60

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Solution

The fourth proportional to 290.59, 401.02 and 159.60 is: 220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.59 : 401.02 = 159.60 : x
  2. Step 2: Convert to fraction form
    290.59/401.02 = 159.60/x
  3. Step 3: Cross multiply
    290.59x = 401.02 × 159.60
  4. Step 4: Simplify right side
    290.59x = 64,003.90
  5. Step 5: Solve for x
    x = 64,003.90/290.59
  6. Step 6: Final answer
    x = 220.26

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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.