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Finding the Fourth Proportional to 188.27, 259.82 and 114.61

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Solution

The fourth proportional to 188.27, 259.82 and 114.61 is: 158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.27 : 259.82 = 114.61 : x
  2. Step 2: Convert to fraction form
    188.27/259.82 = 114.61/x
  3. Step 3: Cross multiply
    188.27x = 259.82 × 114.61
  4. Step 4: Simplify right side
    188.27x = 29,777.97
  5. Step 5: Solve for x
    x = 29,777.97/188.27
  6. Step 6: Final answer
    x = 158.17

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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.