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Finding the Fourth Proportional to 188.67, 259.83 and 171.26

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Solution

The fourth proportional to 188.67, 259.83 and 171.26 is: 235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.67 : 259.83 = 171.26 : x
  2. Step 2: Convert to fraction form
    188.67/259.83 = 171.26/x
  3. Step 3: Cross multiply
    188.67x = 259.83 × 171.26
  4. Step 4: Simplify right side
    188.67x = 44,497.19
  5. Step 5: Solve for x
    x = 44,497.19/188.67
  6. Step 6: Final answer
    x = 235.85

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