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Finding the Fourth Proportional to 311.63, 430.05 and 180.64

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Solution

The fourth proportional to 311.63, 430.05 and 180.64 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.63 : 430.05 = 180.64 : x
  2. Step 2: Convert to fraction form
    311.63/430.05 = 180.64/x
  3. Step 3: Cross multiply
    311.63x = 430.05 × 180.64
  4. Step 4: Simplify right side
    311.63x = 77,684.23
  5. Step 5: Solve for x
    x = 77,684.23/311.63
  6. Step 6: Final answer
    x = 249.28

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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.