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Finding the Fourth Proportional to 311.29, 429.53 and 180.27

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Solution

The fourth proportional to 311.29, 429.53 and 180.27 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.29 : 429.53 = 180.27 : x
  2. Step 2: Convert to fraction form
    311.29/429.53 = 180.27/x
  3. Step 3: Cross multiply
    311.29x = 429.53 × 180.27
  4. Step 4: Simplify right side
    311.29x = 77,431.37
  5. Step 5: Solve for x
    x = 77,431.37/311.29
  6. Step 6: Final answer
    x = 248.74

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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.