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Finding the Fourth Proportional to 289.29, 433.24 and 159.09

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Solution

The fourth proportional to 289.29, 433.24 and 159.09 is: 238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.29 : 433.24 = 159.09 : x
  2. Step 2: Convert to fraction form
    289.29/433.24 = 159.09/x
  3. Step 3: Cross multiply
    289.29x = 433.24 × 159.09
  4. Step 4: Simplify right side
    289.29x = 68,924.15
  5. Step 5: Solve for x
    x = 68,924.15/289.29
  6. Step 6: Final answer
    x = 238.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.