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Finding the Fourth Proportional to 306.29, 458.91 and 196.34

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Solution

The fourth proportional to 306.29, 458.91 and 196.34 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 458.91 = 196.34 : x
  2. Step 2: Convert to fraction form
    306.29/458.91 = 196.34/x
  3. Step 3: Cross multiply
    306.29x = 458.91 × 196.34
  4. Step 4: Simplify right side
    306.29x = 90,100.09
  5. Step 5: Solve for x
    x = 90,100.09/306.29
  6. Step 6: Final answer
    x = 294.17

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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.