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Finding the Fourth Proportional to 311.19, 466.45 and 173.99

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Solution

The fourth proportional to 311.19, 466.45 and 173.99 is: 260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.19 : 466.45 = 173.99 : x
  2. Step 2: Convert to fraction form
    311.19/466.45 = 173.99/x
  3. Step 3: Cross multiply
    311.19x = 466.45 × 173.99
  4. Step 4: Simplify right side
    311.19x = 81,157.79
  5. Step 5: Solve for x
    x = 81,157.79/311.19
  6. Step 6: Final answer
    x = 260.80

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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.