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Finding the Fourth Proportional to 200.11, 299.65 and 119.01

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Solution

The fourth proportional to 200.11, 299.65 and 119.01 is: 178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.11 : 299.65 = 119.01 : x
  2. Step 2: Convert to fraction form
    200.11/299.65 = 119.01/x
  3. Step 3: Cross multiply
    200.11x = 299.65 × 119.01
  4. Step 4: Simplify right side
    200.11x = 35,661.35
  5. Step 5: Solve for x
    x = 35,661.35/200.11
  6. Step 6: Final answer
    x = 178.21

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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.