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Finding the Fourth Proportional to 217.93, 324.49 and 214.65

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Solution

The fourth proportional to 217.93, 324.49 and 214.65 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.93 : 324.49 = 214.65 : x
  2. Step 2: Convert to fraction form
    217.93/324.49 = 214.65/x
  3. Step 3: Cross multiply
    217.93x = 324.49 × 214.65
  4. Step 4: Simplify right side
    217.93x = 69,649.08
  5. Step 5: Solve for x
    x = 69,649.08/217.93
  6. Step 6: Final answer
    x = 319.59

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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.