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Finding the Fourth Proportional to 217.44, 324.42 and 173.31

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Solution

The fourth proportional to 217.44, 324.42 and 173.31 is: 258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 324.42 = 173.31 : x
  2. Step 2: Convert to fraction form
    217.44/324.42 = 173.31/x
  3. Step 3: Cross multiply
    217.44x = 324.42 × 173.31
  4. Step 4: Simplify right side
    217.44x = 56,225.23
  5. Step 5: Solve for x
    x = 56,225.23/217.44
  6. Step 6: Final answer
    x = 258.58

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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.