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Finding the Fourth Proportional to 217.48, 324.54 and 194.41

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Solution

The fourth proportional to 217.48, 324.54 and 194.41 is: 290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.48 : 324.54 = 194.41 : x
  2. Step 2: Convert to fraction form
    217.48/324.54 = 194.41/x
  3. Step 3: Cross multiply
    217.48x = 324.54 × 194.41
  4. Step 4: Simplify right side
    217.48x = 63,093.82
  5. Step 5: Solve for x
    x = 63,093.82/217.48
  6. Step 6: Final answer
    x = 290.11

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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.