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Finding the Fourth Proportional to 188.31, 282.78 and 180.21

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Solution

The fourth proportional to 188.31, 282.78 and 180.21 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.31 : 282.78 = 180.21 : x
  2. Step 2: Convert to fraction form
    188.31/282.78 = 180.21/x
  3. Step 3: Cross multiply
    188.31x = 282.78 × 180.21
  4. Step 4: Simplify right side
    188.31x = 50,958.72
  5. Step 5: Solve for x
    x = 50,958.72/188.31
  6. Step 6: Final answer
    x = 270.62

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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.