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Finding the Fourth Proportional to 207.42, 311.31 and 116.31

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Solution

The fourth proportional to 207.42, 311.31 and 116.31 is: 174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 311.31 = 116.31 : x
  2. Step 2: Convert to fraction form
    207.42/311.31 = 116.31/x
  3. Step 3: Cross multiply
    207.42x = 311.31 × 116.31
  4. Step 4: Simplify right side
    207.42x = 36,208.47
  5. Step 5: Solve for x
    x = 36,208.47/207.42
  6. Step 6: Final answer
    x = 174.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.