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Finding the Fourth Proportional to 181.44, 270.96 and 159.36

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Solution

The fourth proportional to 181.44, 270.96 and 159.36 is: 237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.44 : 270.96 = 159.36 : x
  2. Step 2: Convert to fraction form
    181.44/270.96 = 159.36/x
  3. Step 3: Cross multiply
    181.44x = 270.96 × 159.36
  4. Step 4: Simplify right side
    181.44x = 43,180.19
  5. Step 5: Solve for x
    x = 43,180.19/181.44
  6. Step 6: Final answer
    x = 237.99

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Why These Related Problems?

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