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Finding the Fourth Proportional to 188.25, 281.70 and 111.26

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Solution

The fourth proportional to 188.25, 281.70 and 111.26 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.25 : 281.70 = 111.26 : x
  2. Step 2: Convert to fraction form
    188.25/281.70 = 111.26/x
  3. Step 3: Cross multiply
    188.25x = 281.70 × 111.26
  4. Step 4: Simplify right side
    188.25x = 31,340.53
  5. Step 5: Solve for x
    x = 31,340.53/188.25
  6. Step 6: Final answer
    x = 166.48

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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.