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Finding the Fourth Proportional to 188.22, 259.77 and 114.55

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Solution

The fourth proportional to 188.22, 259.77 and 114.55 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.22 : 259.77 = 114.55 : x
  2. Step 2: Convert to fraction form
    188.22/259.77 = 114.55/x
  3. Step 3: Cross multiply
    188.22x = 259.77 × 114.55
  4. Step 4: Simplify right side
    188.22x = 29,755.57
  5. Step 5: Solve for x
    x = 29,755.57/188.22
  6. Step 6: Final answer
    x = 158.09

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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.