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Finding the Fourth Proportional to 189.96, 285.03 and 144.42

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Solution

The fourth proportional to 189.96, 285.03 and 144.42 is: 216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 285.03 = 144.42 : x
  2. Step 2: Convert to fraction form
    189.96/285.03 = 144.42/x
  3. Step 3: Cross multiply
    189.96x = 285.03 × 144.42
  4. Step 4: Simplify right side
    189.96x = 41,164.03
  5. Step 5: Solve for x
    x = 41,164.03/189.96
  6. Step 6: Final answer
    x = 216.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.