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Finding the Fourth Proportional to 255.72, 381.61 and 219.14

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Solution

The fourth proportional to 255.72, 381.61 and 219.14 is: 327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.72 : 381.61 = 219.14 : x
  2. Step 2: Convert to fraction form
    255.72/381.61 = 219.14/x
  3. Step 3: Cross multiply
    255.72x = 381.61 × 219.14
  4. Step 4: Simplify right side
    255.72x = 83,626.02
  5. Step 5: Solve for x
    x = 83,626.02/255.72
  6. Step 6: Final answer
    x = 327.02

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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.