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Finding the Fourth Proportional to 311.42, 465.96 and 195.32

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Solution

The fourth proportional to 311.42, 465.96 and 195.32 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.42 : 465.96 = 195.32 : x
  2. Step 2: Convert to fraction form
    311.42/465.96 = 195.32/x
  3. Step 3: Cross multiply
    311.42x = 465.96 × 195.32
  4. Step 4: Simplify right side
    311.42x = 91,011.31
  5. Step 5: Solve for x
    x = 91,011.31/311.42
  6. Step 6: Final answer
    x = 292.25

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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.