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Finding the Fourth Proportional to 306.82, 460.46 and 144.61

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Solution

The fourth proportional to 306.82, 460.46 and 144.61 is: 217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 460.46 = 144.61 : x
  2. Step 2: Convert to fraction form
    306.82/460.46 = 144.61/x
  3. Step 3: Cross multiply
    306.82x = 460.46 × 144.61
  4. Step 4: Simplify right side
    306.82x = 66,588.55
  5. Step 5: Solve for x
    x = 66,588.55/306.82
  6. Step 6: Final answer
    x = 217.03

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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.