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Finding the Fourth Proportional to 306.78, 460.38 and 238.14

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Solution

The fourth proportional to 306.78, 460.38 and 238.14 is: 357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 460.38 = 238.14 : x
  2. Step 2: Convert to fraction form
    306.78/460.38 = 238.14/x
  3. Step 3: Cross multiply
    306.78x = 460.38 × 238.14
  4. Step 4: Simplify right side
    306.78x = 109,634.89
  5. Step 5: Solve for x
    x = 109,634.89/306.78
  6. Step 6: Final answer
    x = 357.37

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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.