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Finding the Fourth Proportional to 311.02, 466.32 and 166.84

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Solution

The fourth proportional to 311.02, 466.32 and 166.84 is: 250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.02 : 466.32 = 166.84 : x
  2. Step 2: Convert to fraction form
    311.02/466.32 = 166.84/x
  3. Step 3: Cross multiply
    311.02x = 466.32 × 166.84
  4. Step 4: Simplify right side
    311.02x = 77,800.83
  5. Step 5: Solve for x
    x = 77,800.83/311.02
  6. Step 6: Final answer
    x = 250.15

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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.