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Finding the Fourth Proportional to 188.82, 282.87 and 107.46

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Solution

The fourth proportional to 188.82, 282.87 and 107.46 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.82 : 282.87 = 107.46 : x
  2. Step 2: Convert to fraction form
    188.82/282.87 = 107.46/x
  3. Step 3: Cross multiply
    188.82x = 282.87 × 107.46
  4. Step 4: Simplify right side
    188.82x = 30,397.21
  5. Step 5: Solve for x
    x = 30,397.21/188.82
  6. Step 6: Final answer
    x = 160.99

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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.