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Finding the Fourth Proportional to 311.32, 465.85 and 238.06

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Solution

The fourth proportional to 311.32, 465.85 and 238.06 is: 356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.32 : 465.85 = 238.06 : x
  2. Step 2: Convert to fraction form
    311.32/465.85 = 238.06/x
  3. Step 3: Cross multiply
    311.32x = 465.85 × 238.06
  4. Step 4: Simplify right side
    311.32x = 110,900.25
  5. Step 5: Solve for x
    x = 110,900.25/311.32
  6. Step 6: Final answer
    x = 356.23

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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.