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Finding the Fourth Proportional to 206.81, 310.52 and 120.24

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Solution

The fourth proportional to 206.81, 310.52 and 120.24 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.81 : 310.52 = 120.24 : x
  2. Step 2: Convert to fraction form
    206.81/310.52 = 120.24/x
  3. Step 3: Cross multiply
    206.81x = 310.52 × 120.24
  4. Step 4: Simplify right side
    206.81x = 37,336.92
  5. Step 5: Solve for x
    x = 37,336.92/206.81
  6. Step 6: Final answer
    x = 180.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.