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Finding the Fourth Proportional to 306.02, 421.82 and 207.61

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Solution

The fourth proportional to 306.02, 421.82 and 207.61 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 421.82 = 207.61 : x
  2. Step 2: Convert to fraction form
    306.02/421.82 = 207.61/x
  3. Step 3: Cross multiply
    306.02x = 421.82 × 207.61
  4. Step 4: Simplify right side
    306.02x = 87,571.94
  5. Step 5: Solve for x
    x = 87,571.94/306.02
  6. Step 6: Final answer
    x = 286.16

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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.