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Finding the Fourth Proportional to 311.24, 466.26 and 189.07

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Solution

The fourth proportional to 311.24, 466.26 and 189.07 is: 283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 466.26 = 189.07 : x
  2. Step 2: Convert to fraction form
    311.24/466.26 = 189.07/x
  3. Step 3: Cross multiply
    311.24x = 466.26 × 189.07
  4. Step 4: Simplify right side
    311.24x = 88,153.90
  5. Step 5: Solve for x
    x = 88,153.90/311.24
  6. Step 6: Final answer
    x = 283.23

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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.