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Finding the Fourth Proportional to 188.91, 260.43 and 161.57

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Solution

The fourth proportional to 188.91, 260.43 and 161.57 is: 222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.91 : 260.43 = 161.57 : x
  2. Step 2: Convert to fraction form
    188.91/260.43 = 161.57/x
  3. Step 3: Cross multiply
    188.91x = 260.43 × 161.57
  4. Step 4: Simplify right side
    188.91x = 42,077.43
  5. Step 5: Solve for x
    x = 42,077.43/188.91
  6. Step 6: Final answer
    x = 222.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.