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Finding the Fourth Proportional to 189.38, 282.06 and 179.62

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Solution

The fourth proportional to 189.38, 282.06 and 179.62 is: 267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.38 : 282.06 = 179.62 : x
  2. Step 2: Convert to fraction form
    189.38/282.06 = 179.62/x
  3. Step 3: Cross multiply
    189.38x = 282.06 × 179.62
  4. Step 4: Simplify right side
    189.38x = 50,663.62
  5. Step 5: Solve for x
    x = 50,663.62/189.38
  6. Step 6: Final answer
    x = 267.52

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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.