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Finding the Fourth Proportional to 311.56, 429.86 and 180.52

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Solution

The fourth proportional to 311.56, 429.86 and 180.52 is: 249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.56 : 429.86 = 180.52 : x
  2. Step 2: Convert to fraction form
    311.56/429.86 = 180.52/x
  3. Step 3: Cross multiply
    311.56x = 429.86 × 180.52
  4. Step 4: Simplify right side
    311.56x = 77,598.33
  5. Step 5: Solve for x
    x = 77,598.33/311.56
  6. Step 6: Final answer
    x = 249.06

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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.