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Finding the Fourth Proportional to 189.60, 284.20 and 146.12

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Solution

The fourth proportional to 189.60, 284.20 and 146.12 is: 219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.60 : 284.20 = 146.12 : x
  2. Step 2: Convert to fraction form
    189.60/284.20 = 146.12/x
  3. Step 3: Cross multiply
    189.60x = 284.20 × 146.12
  4. Step 4: Simplify right side
    189.60x = 41,527.30
  5. Step 5: Solve for x
    x = 41,527.30/189.60
  6. Step 6: Final answer
    x = 219.03

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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.