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Finding the Fourth Proportional to 189.42, 284.40 and 140.82

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Solution

The fourth proportional to 189.42, 284.40 and 140.82 is: 211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 284.40 = 140.82 : x
  2. Step 2: Convert to fraction form
    189.42/284.40 = 140.82/x
  3. Step 3: Cross multiply
    189.42x = 284.40 × 140.82
  4. Step 4: Simplify right side
    189.42x = 40,049.21
  5. Step 5: Solve for x
    x = 40,049.21/189.42
  6. Step 6: Final answer
    x = 211.43

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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.