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Finding the Fourth Proportional to 207.88, 311.25 and 121.08

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Solution

The fourth proportional to 207.88, 311.25 and 121.08 is: 181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.88 : 311.25 = 121.08 : x
  2. Step 2: Convert to fraction form
    207.88/311.25 = 121.08/x
  3. Step 3: Cross multiply
    207.88x = 311.25 × 121.08
  4. Step 4: Simplify right side
    207.88x = 37,687.77
  5. Step 5: Solve for x
    x = 37,687.77/207.88
  6. Step 6: Final answer
    x = 181.30

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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.