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Finding the Fourth Proportional to 306.84, 423.38 and 190.42

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Solution

The fourth proportional to 306.84, 423.38 and 190.42 is: 262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 423.38 = 190.42 : x
  2. Step 2: Convert to fraction form
    306.84/423.38 = 190.42/x
  3. Step 3: Cross multiply
    306.84x = 423.38 × 190.42
  4. Step 4: Simplify right side
    306.84x = 80,620.02
  5. Step 5: Solve for x
    x = 80,620.02/306.84
  6. Step 6: Final answer
    x = 262.74

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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.