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Finding the Fourth Proportional to 216.17, 323.56 and 117.21

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Solution

The fourth proportional to 216.17, 323.56 and 117.21 is: 175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.17 : 323.56 = 117.21 : x
  2. Step 2: Convert to fraction form
    216.17/323.56 = 117.21/x
  3. Step 3: Cross multiply
    216.17x = 323.56 × 117.21
  4. Step 4: Simplify right side
    216.17x = 37,923.79
  5. Step 5: Solve for x
    x = 37,923.79/216.17
  6. Step 6: Final answer
    x = 175.43

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