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Finding the Fourth Proportional to 159.65, 238.27 and 120.94

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Solution

The fourth proportional to 159.65, 238.27 and 120.94 is: 180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.65 : 238.27 = 120.94 : x
  2. Step 2: Convert to fraction form
    159.65/238.27 = 120.94/x
  3. Step 3: Cross multiply
    159.65x = 238.27 × 120.94
  4. Step 4: Simplify right side
    159.65x = 28,816.37
  5. Step 5: Solve for x
    x = 28,816.37/159.65
  6. Step 6: Final answer
    x = 180.50

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Why These Related Problems?

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