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Finding the Fourth Proportional to 133.42, 200.12 and 119.02

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Solution

The fourth proportional to 133.42, 200.12 and 119.02 is: 178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.42 : 200.12 = 119.02 : x
  2. Step 2: Convert to fraction form
    133.42/200.12 = 119.02/x
  3. Step 3: Cross multiply
    133.42x = 200.12 × 119.02
  4. Step 4: Simplify right side
    133.42x = 23,818.28
  5. Step 5: Solve for x
    x = 23,818.28/133.42
  6. Step 6: Final answer
    x = 178.52

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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.