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Finding the Fourth Proportional to 188.22, 281.80 and 113.88

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Solution

The fourth proportional to 188.22, 281.80 and 113.88 is: 170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.22 : 281.80 = 113.88 : x
  2. Step 2: Convert to fraction form
    188.22/281.80 = 113.88/x
  3. Step 3: Cross multiply
    188.22x = 281.80 × 113.88
  4. Step 4: Simplify right side
    188.22x = 32,091.38
  5. Step 5: Solve for x
    x = 32,091.38/188.22
  6. Step 6: Final answer
    x = 170.50

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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.