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Finding the Fourth Proportional to 311.79, 430.25 and 180.84

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Solution

The fourth proportional to 311.79, 430.25 and 180.84 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.79 : 430.25 = 180.84 : x
  2. Step 2: Convert to fraction form
    311.79/430.25 = 180.84/x
  3. Step 3: Cross multiply
    311.79x = 430.25 × 180.84
  4. Step 4: Simplify right side
    311.79x = 77,803.35
  5. Step 5: Solve for x
    x = 77,803.35/311.79
  6. Step 6: Final answer
    x = 249.54

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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.