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Finding the Fourth Proportional to 207.77, 311.79 and 121.15

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Solution

The fourth proportional to 207.77, 311.79 and 121.15 is: 181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.77 : 311.79 = 121.15 : x
  2. Step 2: Convert to fraction form
    207.77/311.79 = 121.15/x
  3. Step 3: Cross multiply
    207.77x = 311.79 × 121.15
  4. Step 4: Simplify right side
    207.77x = 37,773.36
  5. Step 5: Solve for x
    x = 37,773.36/207.77
  6. Step 6: Final answer
    x = 181.80

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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.