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Finding the Fourth Proportional to 189.95, 284.34 and 146.78

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Solution

The fourth proportional to 189.95, 284.34 and 146.78 is: 219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 284.34 = 146.78 : x
  2. Step 2: Convert to fraction form
    189.95/284.34 = 146.78/x
  3. Step 3: Cross multiply
    189.95x = 284.34 × 146.78
  4. Step 4: Simplify right side
    189.95x = 41,735.62
  5. Step 5: Solve for x
    x = 41,735.62/189.95
  6. Step 6: Final answer
    x = 219.72

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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.