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Finding the Fourth Proportional to 208.33, 312.80 and 180.99

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Solution

The fourth proportional to 208.33, 312.80 and 180.99 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.33 : 312.80 = 180.99 : x
  2. Step 2: Convert to fraction form
    208.33/312.80 = 180.99/x
  3. Step 3: Cross multiply
    208.33x = 312.80 × 180.99
  4. Step 4: Simplify right side
    208.33x = 56,613.67
  5. Step 5: Solve for x
    x = 56,613.67/208.33
  6. Step 6: Final answer
    x = 271.75

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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.