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Finding the Fourth Proportional to 306.81, 422.58 and 241.20

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Solution

The fourth proportional to 306.81, 422.58 and 241.20 is: 332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.81 : 422.58 = 241.20 : x
  2. Step 2: Convert to fraction form
    306.81/422.58 = 241.20/x
  3. Step 3: Cross multiply
    306.81x = 422.58 × 241.20
  4. Step 4: Simplify right side
    306.81x = 101,926.30
  5. Step 5: Solve for x
    x = 101,926.30/306.81
  6. Step 6: Final answer
    x = 332.21

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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.