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Finding the Fourth Proportional to 207.65, 311.31 and 120.78

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Solution

The fourth proportional to 207.65, 311.31 and 120.78 is: 181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.65 : 311.31 = 120.78 : x
  2. Step 2: Convert to fraction form
    207.65/311.31 = 120.78/x
  3. Step 3: Cross multiply
    207.65x = 311.31 × 120.78
  4. Step 4: Simplify right side
    207.65x = 37,600.02
  5. Step 5: Solve for x
    x = 37,600.02/207.65
  6. Step 6: Final answer
    x = 181.08

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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.