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Finding the Fourth Proportional to 188.84, 259.43 and 169.43

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Solution

The fourth proportional to 188.84, 259.43 and 169.43 is: 232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.84 : 259.43 = 169.43 : x
  2. Step 2: Convert to fraction form
    188.84/259.43 = 169.43/x
  3. Step 3: Cross multiply
    188.84x = 259.43 × 169.43
  4. Step 4: Simplify right side
    188.84x = 43,953.08
  5. Step 5: Solve for x
    x = 43,953.08/188.84
  6. Step 6: Final answer
    x = 232.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.