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Finding the Fourth Proportional to 176.70, 243.96 and 144.03

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Solution

The fourth proportional to 176.70, 243.96 and 144.03 is: 198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.70 : 243.96 = 144.03 : x
  2. Step 2: Convert to fraction form
    176.70/243.96 = 144.03/x
  3. Step 3: Cross multiply
    176.70x = 243.96 × 144.03
  4. Step 4: Simplify right side
    176.70x = 35,137.56
  5. Step 5: Solve for x
    x = 35,137.56/176.70
  6. Step 6: Final answer
    x = 198.85

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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.