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Finding the Fourth Proportional to 152.24, 209.84 and 119.44

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Solution

The fourth proportional to 152.24, 209.84 and 119.44 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 209.84 = 119.44 : x
  2. Step 2: Convert to fraction form
    152.24/209.84 = 119.44/x
  3. Step 3: Cross multiply
    152.24x = 209.84 × 119.44
  4. Step 4: Simplify right side
    152.24x = 25,063.29
  5. Step 5: Solve for x
    x = 25,063.29/152.24
  6. Step 6: Final answer
    x = 164.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.