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Finding the Fourth Proportional to 188.26, 259.62 and 126.05

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Solution

The fourth proportional to 188.26, 259.62 and 126.05 is: 173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.26 : 259.62 = 126.05 : x
  2. Step 2: Convert to fraction form
    188.26/259.62 = 126.05/x
  3. Step 3: Cross multiply
    188.26x = 259.62 × 126.05
  4. Step 4: Simplify right side
    188.26x = 32,725.10
  5. Step 5: Solve for x
    x = 32,725.10/188.26
  6. Step 6: Final answer
    x = 173.83

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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.