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Finding the Fourth Proportional to 311.18, 466.85 and 157.05

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Solution

The fourth proportional to 311.18, 466.85 and 157.05 is: 235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.18 : 466.85 = 157.05 : x
  2. Step 2: Convert to fraction form
    311.18/466.85 = 157.05/x
  3. Step 3: Cross multiply
    311.18x = 466.85 × 157.05
  4. Step 4: Simplify right side
    311.18x = 73,318.01
  5. Step 5: Solve for x
    x = 73,318.01/311.18
  6. Step 6: Final answer
    x = 235.61

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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.