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Finding the Fourth Proportional to 217.01, 325.46 and 214.80

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Solution

The fourth proportional to 217.01, 325.46 and 214.80 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.01 : 325.46 = 214.80 : x
  2. Step 2: Convert to fraction form
    217.01/325.46 = 214.80/x
  3. Step 3: Cross multiply
    217.01x = 325.46 × 214.80
  4. Step 4: Simplify right side
    217.01x = 69,908.49
  5. Step 5: Solve for x
    x = 69,908.49/217.01
  6. Step 6: Final answer
    x = 322.14

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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.