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Finding the Fourth Proportional to 306.13, 422.48 and 189.76

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Solution

The fourth proportional to 306.13, 422.48 and 189.76 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.13 : 422.48 = 189.76 : x
  2. Step 2: Convert to fraction form
    306.13/422.48 = 189.76/x
  3. Step 3: Cross multiply
    306.13x = 422.48 × 189.76
  4. Step 4: Simplify right side
    306.13x = 80,166.74
  5. Step 5: Solve for x
    x = 80,166.74/306.13
  6. Step 6: Final answer
    x = 261.88

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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.