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Finding the Fourth Proportional to 311.03, 429.23 and 178.25

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Solution

The fourth proportional to 311.03, 429.23 and 178.25 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.03 : 429.23 = 178.25 : x
  2. Step 2: Convert to fraction form
    311.03/429.23 = 178.25/x
  3. Step 3: Cross multiply
    311.03x = 429.23 × 178.25
  4. Step 4: Simplify right side
    311.03x = 76,507.21
  5. Step 5: Solve for x
    x = 76,507.21/311.03
  6. Step 6: Final answer
    x = 245.98

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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.