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Finding the Fourth Proportional to 189.92, 284.94 and 144.32

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Solution

The fourth proportional to 189.92, 284.94 and 144.32 is: 216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 284.94 = 144.32 : x
  2. Step 2: Convert to fraction form
    189.92/284.94 = 144.32/x
  3. Step 3: Cross multiply
    189.92x = 284.94 × 144.32
  4. Step 4: Simplify right side
    189.92x = 41,122.54
  5. Step 5: Solve for x
    x = 41,122.54/189.92
  6. Step 6: Final answer
    x = 216.53

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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.