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Finding the Fourth Proportional to 311.22, 429.50 and 171.36

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Solution

The fourth proportional to 311.22, 429.50 and 171.36 is: 236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.22 : 429.50 = 171.36 : x
  2. Step 2: Convert to fraction form
    311.22/429.50 = 171.36/x
  3. Step 3: Cross multiply
    311.22x = 429.50 × 171.36
  4. Step 4: Simplify right side
    311.22x = 73,599.55
  5. Step 5: Solve for x
    x = 73,599.55/311.22
  6. Step 6: Final answer
    x = 236.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.