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Finding the Fourth Proportional to 207.77, 311.84 and 121.25

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Solution

The fourth proportional to 207.77, 311.84 and 121.25 is: 181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.77 : 311.84 = 121.25 : x
  2. Step 2: Convert to fraction form
    207.77/311.84 = 121.25/x
  3. Step 3: Cross multiply
    207.77x = 311.84 × 121.25
  4. Step 4: Simplify right side
    207.77x = 37,809.99
  5. Step 5: Solve for x
    x = 37,809.99/207.77
  6. Step 6: Final answer
    x = 181.98

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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.