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Finding the Fourth Proportional to 188.54, 282.96 and 80.42

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Solution

The fourth proportional to 188.54, 282.96 and 80.42 is: 120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.54 : 282.96 = 80.42 : x
  2. Step 2: Convert to fraction form
    188.54/282.96 = 80.42/x
  3. Step 3: Cross multiply
    188.54x = 282.96 × 80.42
  4. Step 4: Simplify right side
    188.54x = 22,755.64
  5. Step 5: Solve for x
    x = 22,755.64/188.54
  6. Step 6: Final answer
    x = 120.69

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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.