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Finding the Fourth Proportional to 277.79, 416.15 and 219.71

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Solution

The fourth proportional to 277.79, 416.15 and 219.71 is: 329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.79 : 416.15 = 219.71 : x
  2. Step 2: Convert to fraction form
    277.79/416.15 = 219.71/x
  3. Step 3: Cross multiply
    277.79x = 416.15 × 219.71
  4. Step 4: Simplify right side
    277.79x = 91,429.14
  5. Step 5: Solve for x
    x = 91,429.14/277.79
  6. Step 6: Final answer
    x = 329.14

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Why These Related Problems?

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