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Finding the Fourth Proportional to 188.97, 282.24 and 161.64

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Solution

The fourth proportional to 188.97, 282.24 and 161.64 is: 241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 282.24 = 161.64 : x
  2. Step 2: Convert to fraction form
    188.97/282.24 = 161.64/x
  3. Step 3: Cross multiply
    188.97x = 282.24 × 161.64
  4. Step 4: Simplify right side
    188.97x = 45,621.27
  5. Step 5: Solve for x
    x = 45,621.27/188.97
  6. Step 6: Final answer
    x = 241.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.