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Finding the Fourth Proportional to 159.75, 238.03 and 150.94

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Solution

The fourth proportional to 159.75, 238.03 and 150.94 is: 224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 238.03 = 150.94 : x
  2. Step 2: Convert to fraction form
    159.75/238.03 = 150.94/x
  3. Step 3: Cross multiply
    159.75x = 238.03 × 150.94
  4. Step 4: Simplify right side
    159.75x = 35,928.25
  5. Step 5: Solve for x
    x = 35,928.25/159.75
  6. Step 6: Final answer
    x = 224.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.