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Finding the Fourth Proportional to 188.12, 281.90 and 136.64

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Solution

The fourth proportional to 188.12, 281.90 and 136.64 is: 204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.12 : 281.90 = 136.64 : x
  2. Step 2: Convert to fraction form
    188.12/281.90 = 136.64/x
  3. Step 3: Cross multiply
    188.12x = 281.90 × 136.64
  4. Step 4: Simplify right side
    188.12x = 38,518.82
  5. Step 5: Solve for x
    x = 38,518.82/188.12
  6. Step 6: Final answer
    x = 204.76

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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.