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Finding the Fourth Proportional to 311.44, 466.32 and 202.96

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Solution

The fourth proportional to 311.44, 466.32 and 202.96 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 466.32 = 202.96 : x
  2. Step 2: Convert to fraction form
    311.44/466.32 = 202.96/x
  3. Step 3: Cross multiply
    311.44x = 466.32 × 202.96
  4. Step 4: Simplify right side
    311.44x = 94,644.31
  5. Step 5: Solve for x
    x = 94,644.31/311.44
  6. Step 6: Final answer
    x = 303.89

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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.