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Finding the Fourth Proportional to 208.04, 311.68 and 180.68

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Solution

The fourth proportional to 208.04, 311.68 and 180.68 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.04 : 311.68 = 180.68 : x
  2. Step 2: Convert to fraction form
    208.04/311.68 = 180.68/x
  3. Step 3: Cross multiply
    208.04x = 311.68 × 180.68
  4. Step 4: Simplify right side
    208.04x = 56,314.34
  5. Step 5: Solve for x
    x = 56,314.34/208.04
  6. Step 6: Final answer
    x = 270.69

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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.