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Finding the Fourth Proportional to 159.94, 240.18 and 119.22

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Solution

The fourth proportional to 159.94, 240.18 and 119.22 is: 179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.94 : 240.18 = 119.22 : x
  2. Step 2: Convert to fraction form
    159.94/240.18 = 119.22/x
  3. Step 3: Cross multiply
    159.94x = 240.18 × 119.22
  4. Step 4: Simplify right side
    159.94x = 28,634.26
  5. Step 5: Solve for x
    x = 28,634.26/159.94
  6. Step 6: Final answer
    x = 179.03

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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.