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Finding the Fourth Proportional to 217.80, 324.90 and 181.62

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Solution

The fourth proportional to 217.80, 324.90 and 181.62 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.80 : 324.90 = 181.62 : x
  2. Step 2: Convert to fraction form
    217.80/324.90 = 181.62/x
  3. Step 3: Cross multiply
    217.80x = 324.90 × 181.62
  4. Step 4: Simplify right side
    217.80x = 59,008.34
  5. Step 5: Solve for x
    x = 59,008.34/217.80
  6. Step 6: Final answer
    x = 270.93

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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.