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Finding the Fourth Proportional to 208.20, 311.76 and 160.14

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Solution

The fourth proportional to 208.20, 311.76 and 160.14 is: 239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 311.76 = 160.14 : x
  2. Step 2: Convert to fraction form
    208.20/311.76 = 160.14/x
  3. Step 3: Cross multiply
    208.20x = 311.76 × 160.14
  4. Step 4: Simplify right side
    208.20x = 49,925.25
  5. Step 5: Solve for x
    x = 49,925.25/208.20
  6. Step 6: Final answer
    x = 239.79

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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.