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Finding the Fourth Proportional to 188.41, 259.92 and 126.15

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Solution

The fourth proportional to 188.41, 259.92 and 126.15 is: 174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.41 : 259.92 = 126.15 : x
  2. Step 2: Convert to fraction form
    188.41/259.92 = 126.15/x
  3. Step 3: Cross multiply
    188.41x = 259.92 × 126.15
  4. Step 4: Simplify right side
    188.41x = 32,788.91
  5. Step 5: Solve for x
    x = 32,788.91/188.41
  6. Step 6: Final answer
    x = 174.03

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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.