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Finding the Fourth Proportional to 217.14, 324.93 and 144.78

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Solution

The fourth proportional to 217.14, 324.93 and 144.78 is: 216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.14 : 324.93 = 144.78 : x
  2. Step 2: Convert to fraction form
    217.14/324.93 = 144.78/x
  3. Step 3: Cross multiply
    217.14x = 324.93 × 144.78
  4. Step 4: Simplify right side
    217.14x = 47,043.37
  5. Step 5: Solve for x
    x = 47,043.37/217.14
  6. Step 6: Final answer
    x = 216.65

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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.