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Finding the Fourth Proportional to 217.04, 324.16 and 171.44

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Solution

The fourth proportional to 217.04, 324.16 and 171.44 is: 256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.04 : 324.16 = 171.44 : x
  2. Step 2: Convert to fraction form
    217.04/324.16 = 171.44/x
  3. Step 3: Cross multiply
    217.04x = 324.16 × 171.44
  4. Step 4: Simplify right side
    217.04x = 55,573.99
  5. Step 5: Solve for x
    x = 55,573.99/217.04
  6. Step 6: Final answer
    x = 256.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.