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Finding the Fourth Proportional to 159.45, 238.56 and 119.05

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Solution

The fourth proportional to 159.45, 238.56 and 119.05 is: 178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.45 : 238.56 = 119.05 : x
  2. Step 2: Convert to fraction form
    159.45/238.56 = 119.05/x
  3. Step 3: Cross multiply
    159.45x = 238.56 × 119.05
  4. Step 4: Simplify right side
    159.45x = 28,400.57
  5. Step 5: Solve for x
    x = 28,400.57/159.45
  6. Step 6: Final answer
    x = 178.12

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Why These Related Problems?

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