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Finding the Fourth Proportional to 177.41, 244.73 and 144.61

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Solution

The fourth proportional to 177.41, 244.73 and 144.61 is: 199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.41 : 244.73 = 144.61 : x
  2. Step 2: Convert to fraction form
    177.41/244.73 = 144.61/x
  3. Step 3: Cross multiply
    177.41x = 244.73 × 144.61
  4. Step 4: Simplify right side
    177.41x = 35,390.15
  5. Step 5: Solve for x
    x = 35,390.15/177.41
  6. Step 6: Final answer
    x = 199.48

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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.