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Finding the Fourth Proportional to 277.20, 416 and 205.24

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Solution

The fourth proportional to 277.20, 416 and 205.24 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.20 : 416 = 205.24 : x
  2. Step 2: Convert to fraction form
    277.20/416 = 205.24/x
  3. Step 3: Cross multiply
    277.20x = 416 × 205.24
  4. Step 4: Simplify right side
    277.20x = 85,379.84
  5. Step 5: Solve for x
    x = 85,379.84/277.20
  6. Step 6: Final answer
    x = 308.01

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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.