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Finding the Fourth Proportional to 311.93, 430.46 and 172.06

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Solution

The fourth proportional to 311.93, 430.46 and 172.06 is: 237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.93 : 430.46 = 172.06 : x
  2. Step 2: Convert to fraction form
    311.93/430.46 = 172.06/x
  3. Step 3: Cross multiply
    311.93x = 430.46 × 172.06
  4. Step 4: Simplify right side
    311.93x = 74,067.05
  5. Step 5: Solve for x
    x = 74,067.05/311.93
  6. Step 6: Final answer
    x = 237.44

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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.