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Finding the Fourth Proportional to 208.99, 313.17 and 160.75

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Solution

The fourth proportional to 208.99, 313.17 and 160.75 is: 240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.99 : 313.17 = 160.75 : x
  2. Step 2: Convert to fraction form
    208.99/313.17 = 160.75/x
  3. Step 3: Cross multiply
    208.99x = 313.17 × 160.75
  4. Step 4: Simplify right side
    208.99x = 50,342.08
  5. Step 5: Solve for x
    x = 50,342.08/208.99
  6. Step 6: Final answer
    x = 240.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.