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Finding the Fourth Proportional to 144.57, 199.80 and 118.56

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Solution

The fourth proportional to 144.57, 199.80 and 118.56 is: 163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 199.80 = 118.56 : x
  2. Step 2: Convert to fraction form
    144.57/199.80 = 118.56/x
  3. Step 3: Cross multiply
    144.57x = 199.80 × 118.56
  4. Step 4: Simplify right side
    144.57x = 23,688.29
  5. Step 5: Solve for x
    x = 23,688.29/144.57
  6. Step 6: Final answer
    x = 163.85

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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.