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Finding the Fourth Proportional to 270.49, 406.01 and 206.77

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Solution

The fourth proportional to 270.49, 406.01 and 206.77 is: 310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.49 : 406.01 = 206.77 : x
  2. Step 2: Convert to fraction form
    270.49/406.01 = 206.77/x
  3. Step 3: Cross multiply
    270.49x = 406.01 × 206.77
  4. Step 4: Simplify right side
    270.49x = 83,950.69
  5. Step 5: Solve for x
    x = 83,950.69/270.49
  6. Step 6: Final answer
    x = 310.37

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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.