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Finding the Fourth Proportional to 311.94, 430.50 and 179.19

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Solution

The fourth proportional to 311.94, 430.50 and 179.19 is: 247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.94 : 430.50 = 179.19 : x
  2. Step 2: Convert to fraction form
    311.94/430.50 = 179.19/x
  3. Step 3: Cross multiply
    311.94x = 430.50 × 179.19
  4. Step 4: Simplify right side
    311.94x = 77,140.35
  5. Step 5: Solve for x
    x = 77,140.35/311.94
  6. Step 6: Final answer
    x = 247.29

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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.