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Finding the Fourth Proportional to 188.86, 260.46 and 157.66

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Solution

The fourth proportional to 188.86, 260.46 and 157.66 is: 217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 260.46 = 157.66 : x
  2. Step 2: Convert to fraction form
    188.86/260.46 = 157.66/x
  3. Step 3: Cross multiply
    188.86x = 260.46 × 157.66
  4. Step 4: Simplify right side
    188.86x = 41,064.12
  5. Step 5: Solve for x
    x = 41,064.12/188.86
  6. Step 6: Final answer
    x = 217.43

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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.