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Finding the Fourth Proportional to 181.20, 270.36 and 157.20

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Solution

The fourth proportional to 181.20, 270.36 and 157.20 is: 234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 270.36 = 157.20 : x
  2. Step 2: Convert to fraction form
    181.20/270.36 = 157.20/x
  3. Step 3: Cross multiply
    181.20x = 270.36 × 157.20
  4. Step 4: Simplify right side
    181.20x = 42,500.59
  5. Step 5: Solve for x
    x = 42,500.59/181.20
  6. Step 6: Final answer
    x = 234.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.