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Finding the Fourth Proportional to 159.89, 239.83 and 119.34

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Solution

The fourth proportional to 159.89, 239.83 and 119.34 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.89 : 239.83 = 119.34 : x
  2. Step 2: Convert to fraction form
    159.89/239.83 = 119.34/x
  3. Step 3: Cross multiply
    159.89x = 239.83 × 119.34
  4. Step 4: Simplify right side
    159.89x = 28,621.01
  5. Step 5: Solve for x
    x = 28,621.01/159.89
  6. Step 6: Final answer
    x = 179.01

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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.