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Finding the Fourth Proportional to 207.99, 311.58 and 121.14

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Solution

The fourth proportional to 207.99, 311.58 and 121.14 is: 181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.99 : 311.58 = 121.14 : x
  2. Step 2: Convert to fraction form
    207.99/311.58 = 121.14/x
  3. Step 3: Cross multiply
    207.99x = 311.58 × 121.14
  4. Step 4: Simplify right side
    207.99x = 37,744.80
  5. Step 5: Solve for x
    x = 37,744.80/207.99
  6. Step 6: Final answer
    x = 181.47

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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.