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Finding the Fourth Proportional to 311.30, 467.07 and 174.34

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Solution

The fourth proportional to 311.30, 467.07 and 174.34 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.30 : 467.07 = 174.34 : x
  2. Step 2: Convert to fraction form
    311.30/467.07 = 174.34/x
  3. Step 3: Cross multiply
    311.30x = 467.07 × 174.34
  4. Step 4: Simplify right side
    311.30x = 81,428.98
  5. Step 5: Solve for x
    x = 81,428.98/311.30
  6. Step 6: Final answer
    x = 261.58

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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.