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Finding the Fourth Proportional to 311.92, 430.48 and 172.05

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Solution

The fourth proportional to 311.92, 430.48 and 172.05 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.92 : 430.48 = 172.05 : x
  2. Step 2: Convert to fraction form
    311.92/430.48 = 172.05/x
  3. Step 3: Cross multiply
    311.92x = 430.48 × 172.05
  4. Step 4: Simplify right side
    311.92x = 74,065.83
  5. Step 5: Solve for x
    x = 74,065.83/311.92
  6. Step 6: Final answer
    x = 237.45

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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.