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Finding the Fourth Proportional to 189, 282.96 and 161.46

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Solution

The fourth proportional to 189, 282.96 and 161.46 is: 241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 282.96 = 161.46 : x
  2. Step 2: Convert to fraction form
    189/282.96 = 161.46/x
  3. Step 3: Cross multiply
    189x = 282.96 × 161.46
  4. Step 4: Simplify right side
    189x = 45,686.72
  5. Step 5: Solve for x
    x = 45,686.72/189
  6. Step 6: Final answer
    x = 241.73

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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.