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Finding the Fourth Proportional to 200.74, 300.96 and 119.47

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Solution

The fourth proportional to 200.74, 300.96 and 119.47 is: 179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.74 : 300.96 = 119.47 : x
  2. Step 2: Convert to fraction form
    200.74/300.96 = 119.47/x
  3. Step 3: Cross multiply
    200.74x = 300.96 × 119.47
  4. Step 4: Simplify right side
    200.74x = 35,955.69
  5. Step 5: Solve for x
    x = 35,955.69/200.74
  6. Step 6: Final answer
    x = 179.12

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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.