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Finding the Fourth Proportional to 306.91, 460.47 and 142.46

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Solution

The fourth proportional to 306.91, 460.47 and 142.46 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.91 : 460.47 = 142.46 : x
  2. Step 2: Convert to fraction form
    306.91/460.47 = 142.46/x
  3. Step 3: Cross multiply
    306.91x = 460.47 × 142.46
  4. Step 4: Simplify right side
    306.91x = 65,596.25
  5. Step 5: Solve for x
    x = 65,596.25/306.91
  6. Step 6: Final answer
    x = 213.73

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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.