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Finding the Fourth Proportional to 277.65, 416.49 and 200.40

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Solution

The fourth proportional to 277.65, 416.49 and 200.40 is: 300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 416.49 = 200.40 : x
  2. Step 2: Convert to fraction form
    277.65/416.49 = 200.40/x
  3. Step 3: Cross multiply
    277.65x = 416.49 × 200.40
  4. Step 4: Simplify right side
    277.65x = 83,464.60
  5. Step 5: Solve for x
    x = 83,464.60/277.65
  6. Step 6: Final answer
    x = 300.61

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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.