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Finding the Fourth Proportional to 188.63, 260.34 and 129.73

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Solution

The fourth proportional to 188.63, 260.34 and 129.73 is: 179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.63 : 260.34 = 129.73 : x
  2. Step 2: Convert to fraction form
    188.63/260.34 = 129.73/x
  3. Step 3: Cross multiply
    188.63x = 260.34 × 129.73
  4. Step 4: Simplify right side
    188.63x = 33,773.91
  5. Step 5: Solve for x
    x = 33,773.91/188.63
  6. Step 6: Final answer
    x = 179.05

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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.