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Finding the Fourth Proportional to 189.47, 282.96 and 165.17

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Solution

The fourth proportional to 189.47, 282.96 and 165.17 is: 246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.47 : 282.96 = 165.17 : x
  2. Step 2: Convert to fraction form
    189.47/282.96 = 165.17/x
  3. Step 3: Cross multiply
    189.47x = 282.96 × 165.17
  4. Step 4: Simplify right side
    189.47x = 46,735.68
  5. Step 5: Solve for x
    x = 46,735.68/189.47
  6. Step 6: Final answer
    x = 246.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.