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Finding the Fourth Proportional to 306.26, 458.40 and 196.64

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Solution

The fourth proportional to 306.26, 458.40 and 196.64 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.26 : 458.40 = 196.64 : x
  2. Step 2: Convert to fraction form
    306.26/458.40 = 196.64/x
  3. Step 3: Cross multiply
    306.26x = 458.40 × 196.64
  4. Step 4: Simplify right side
    306.26x = 90,139.78
  5. Step 5: Solve for x
    x = 90,139.78/306.26
  6. Step 6: Final answer
    x = 294.32

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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.