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Finding the Fourth Proportional to 157.20, 217.20 and 144.96

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Solution

The fourth proportional to 157.20, 217.20 and 144.96 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.20 : 217.20 = 144.96 : x
  2. Step 2: Convert to fraction form
    157.20/217.20 = 144.96/x
  3. Step 3: Cross multiply
    157.20x = 217.20 × 144.96
  4. Step 4: Simplify right side
    157.20x = 31,485.31
  5. Step 5: Solve for x
    x = 31,485.31/157.20
  6. Step 6: Final answer
    x = 200.29

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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.