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Finding the Fourth Proportional to 189.82, 284.78 and 132.02

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Solution

The fourth proportional to 189.82, 284.78 and 132.02 is: 198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.82 : 284.78 = 132.02 : x
  2. Step 2: Convert to fraction form
    189.82/284.78 = 132.02/x
  3. Step 3: Cross multiply
    189.82x = 284.78 × 132.02
  4. Step 4: Simplify right side
    189.82x = 37,595.56
  5. Step 5: Solve for x
    x = 37,595.56/189.82
  6. Step 6: Final answer
    x = 198.06

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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.