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Finding the Fourth Proportional to 207.48, 311.12 and 120.84

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Solution

The fourth proportional to 207.48, 311.12 and 120.84 is: 181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.48 : 311.12 = 120.84 : x
  2. Step 2: Convert to fraction form
    207.48/311.12 = 120.84/x
  3. Step 3: Cross multiply
    207.48x = 311.12 × 120.84
  4. Step 4: Simplify right side
    207.48x = 37,596.85
  5. Step 5: Solve for x
    x = 37,596.85/207.48
  6. Step 6: Final answer
    x = 181.21

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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.