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Finding the Fourth Proportional to 189.92, 284.60 and 149.42

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Solution

The fourth proportional to 189.92, 284.60 and 149.42 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 284.60 = 149.42 : x
  2. Step 2: Convert to fraction form
    189.92/284.60 = 149.42/x
  3. Step 3: Cross multiply
    189.92x = 284.60 × 149.42
  4. Step 4: Simplify right side
    189.92x = 42,522.76
  5. Step 5: Solve for x
    x = 42,522.76/189.92
  6. Step 6: Final answer
    x = 223.90

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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.