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Finding the Fourth Proportional to 311.50, 467.13 and 106.02

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Solution

The fourth proportional to 311.50, 467.13 and 106.02 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.50 : 467.13 = 106.02 : x
  2. Step 2: Convert to fraction form
    311.50/467.13 = 106.02/x
  3. Step 3: Cross multiply
    311.50x = 467.13 × 106.02
  4. Step 4: Simplify right side
    311.50x = 49,525.12
  5. Step 5: Solve for x
    x = 49,525.12/311.50
  6. Step 6: Final answer
    x = 158.99

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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.