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Finding the Fourth Proportional to 311.47, 429.80 and 180.46

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Solution

The fourth proportional to 311.47, 429.80 and 180.46 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.47 : 429.80 = 180.46 : x
  2. Step 2: Convert to fraction form
    311.47/429.80 = 180.46/x
  3. Step 3: Cross multiply
    311.47x = 429.80 × 180.46
  4. Step 4: Simplify right side
    311.47x = 77,559.56
  5. Step 5: Solve for x
    x = 77,559.56/311.47
  6. Step 6: Final answer
    x = 249.01

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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.