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Finding the Fourth Proportional to 207.42, 311.36 and 120.86

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Solution

The fourth proportional to 207.42, 311.36 and 120.86 is: 181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 311.36 = 120.86 : x
  2. Step 2: Convert to fraction form
    207.42/311.36 = 120.86/x
  3. Step 3: Cross multiply
    207.42x = 311.36 × 120.86
  4. Step 4: Simplify right side
    207.42x = 37,629.41
  5. Step 5: Solve for x
    x = 37,629.41/207.42
  6. Step 6: Final answer
    x = 181.42

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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.