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Finding the Fourth Proportional to 306.42, 422.42 and 213.13

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Solution

The fourth proportional to 306.42, 422.42 and 213.13 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 422.42 = 213.13 : x
  2. Step 2: Convert to fraction form
    306.42/422.42 = 213.13/x
  3. Step 3: Cross multiply
    306.42x = 422.42 × 213.13
  4. Step 4: Simplify right side
    306.42x = 90,030.37
  5. Step 5: Solve for x
    x = 90,030.37/306.42
  6. Step 6: Final answer
    x = 293.81

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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.