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Finding the Fourth Proportional to 277.65, 415.83 and 200.28

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Solution

The fourth proportional to 277.65, 415.83 and 200.28 is: 299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 415.83 = 200.28 : x
  2. Step 2: Convert to fraction form
    277.65/415.83 = 200.28/x
  3. Step 3: Cross multiply
    277.65x = 415.83 × 200.28
  4. Step 4: Simplify right side
    277.65x = 83,282.43
  5. Step 5: Solve for x
    x = 83,282.43/277.65
  6. Step 6: Final answer
    x = 299.95

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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.