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Finding the Fourth Proportional to 217.04, 324.86 and 151.96

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Solution

The fourth proportional to 217.04, 324.86 and 151.96 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.04 : 324.86 = 151.96 : x
  2. Step 2: Convert to fraction form
    217.04/324.86 = 151.96/x
  3. Step 3: Cross multiply
    217.04x = 324.86 × 151.96
  4. Step 4: Simplify right side
    217.04x = 49,365.73
  5. Step 5: Solve for x
    x = 49,365.73/217.04
  6. Step 6: Final answer
    x = 227.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.