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Finding the Fourth Proportional to 207.42, 311.12 and 116.22

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Solution

The fourth proportional to 207.42, 311.12 and 116.22 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 311.12 = 116.22 : x
  2. Step 2: Convert to fraction form
    207.42/311.12 = 116.22/x
  3. Step 3: Cross multiply
    207.42x = 311.12 × 116.22
  4. Step 4: Simplify right side
    207.42x = 36,158.37
  5. Step 5: Solve for x
    x = 36,158.37/207.42
  6. Step 6: Final answer
    x = 174.32

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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.