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Finding the Fourth Proportional to 350.33, 525.09 and 206.15

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Solution

The fourth proportional to 350.33, 525.09 and 206.15 is: 308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.33 : 525.09 = 206.15 : x
  2. Step 2: Convert to fraction form
    350.33/525.09 = 206.15/x
  3. Step 3: Cross multiply
    350.33x = 525.09 × 206.15
  4. Step 4: Simplify right side
    350.33x = 108,247.30
  5. Step 5: Solve for x
    x = 108,247.30/350.33
  6. Step 6: Final answer
    x = 308.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.