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Finding the Fourth Proportional to 188.73, 260.52 and 149.55

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Solution

The fourth proportional to 188.73, 260.52 and 149.55 is: 206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.73 : 260.52 = 149.55 : x
  2. Step 2: Convert to fraction form
    188.73/260.52 = 149.55/x
  3. Step 3: Cross multiply
    188.73x = 260.52 × 149.55
  4. Step 4: Simplify right side
    188.73x = 38,959.23
  5. Step 5: Solve for x
    x = 38,959.23/188.73
  6. Step 6: Final answer
    x = 206.43

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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.