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Finding the Fourth Proportional to 244.15, 365.97 and 120.58

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Solution

The fourth proportional to 244.15, 365.97 and 120.58 is: 180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.15 : 365.97 = 120.58 : x
  2. Step 2: Convert to fraction form
    244.15/365.97 = 120.58/x
  3. Step 3: Cross multiply
    244.15x = 365.97 × 120.58
  4. Step 4: Simplify right side
    244.15x = 44,128.66
  5. Step 5: Solve for x
    x = 44,128.66/244.15
  6. Step 6: Final answer
    x = 180.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.