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Finding the Fourth Proportional to 159.28, 219.90 and 120.40

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Solution

The fourth proportional to 159.28, 219.90 and 120.40 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.28 : 219.90 = 120.40 : x
  2. Step 2: Convert to fraction form
    159.28/219.90 = 120.40/x
  3. Step 3: Cross multiply
    159.28x = 219.90 × 120.40
  4. Step 4: Simplify right side
    159.28x = 26,476.23
  5. Step 5: Solve for x
    x = 26,476.23/159.28
  6. Step 6: Final answer
    x = 166.22

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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.