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Finding the Fourth Proportional to 306.91, 423.41 and 202.05

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Solution

The fourth proportional to 306.91, 423.41 and 202.05 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.91 : 423.41 = 202.05 : x
  2. Step 2: Convert to fraction form
    306.91/423.41 = 202.05/x
  3. Step 3: Cross multiply
    306.91x = 423.41 × 202.05
  4. Step 4: Simplify right side
    306.91x = 85,549.99
  5. Step 5: Solve for x
    x = 85,549.99/306.91
  6. Step 6: Final answer
    x = 278.75

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