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Finding the Fourth Proportional to 266.69, 399.52 and 208.64

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Solution

The fourth proportional to 266.69, 399.52 and 208.64 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.69 : 399.52 = 208.64 : x
  2. Step 2: Convert to fraction form
    266.69/399.52 = 208.64/x
  3. Step 3: Cross multiply
    266.69x = 399.52 × 208.64
  4. Step 4: Simplify right side
    266.69x = 83,355.85
  5. Step 5: Solve for x
    x = 83,355.85/266.69
  6. Step 6: Final answer
    x = 312.56

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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.