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Finding the Fourth Proportional to 306.47, 423 and 196.04

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Solution

The fourth proportional to 306.47, 423 and 196.04 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.47 : 423 = 196.04 : x
  2. Step 2: Convert to fraction form
    306.47/423 = 196.04/x
  3. Step 3: Cross multiply
    306.47x = 423 × 196.04
  4. Step 4: Simplify right side
    306.47x = 82,922.81
  5. Step 5: Solve for x
    x = 82,922.81/306.47
  6. Step 6: Final answer
    x = 270.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.