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Finding the Fourth Proportional to 208.10, 311.80 and 182.13

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Solution

The fourth proportional to 208.10, 311.80 and 182.13 is: 272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.10 : 311.80 = 182.13 : x
  2. Step 2: Convert to fraction form
    208.10/311.80 = 182.13/x
  3. Step 3: Cross multiply
    208.10x = 311.80 × 182.13
  4. Step 4: Simplify right side
    208.10x = 56,788.13
  5. Step 5: Solve for x
    x = 56,788.13/208.10
  6. Step 6: Final answer
    x = 272.89

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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.