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Finding the Fourth Proportional to 208.91, 313.67 and 180.33

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Solution

The fourth proportional to 208.91, 313.67 and 180.33 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.91 : 313.67 = 180.33 : x
  2. Step 2: Convert to fraction form
    208.91/313.67 = 180.33/x
  3. Step 3: Cross multiply
    208.91x = 313.67 × 180.33
  4. Step 4: Simplify right side
    208.91x = 56,564.11
  5. Step 5: Solve for x
    x = 56,564.11/208.91
  6. Step 6: Final answer
    x = 270.76

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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.