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Finding the Fourth Proportional to 144.66, 199.70 and 139.53

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Solution

The fourth proportional to 144.66, 199.70 and 139.53 is: 192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.66 : 199.70 = 139.53 : x
  2. Step 2: Convert to fraction form
    144.66/199.70 = 139.53/x
  3. Step 3: Cross multiply
    144.66x = 199.70 × 139.53
  4. Step 4: Simplify right side
    144.66x = 27,863.44
  5. Step 5: Solve for x
    x = 27,863.44/144.66
  6. Step 6: Final answer
    x = 192.61

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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.