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Finding the Fourth Proportional to 299.85, 414.06 and 250.04

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Solution

The fourth proportional to 299.85, 414.06 and 250.04 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.85 : 414.06 = 250.04 : x
  2. Step 2: Convert to fraction form
    299.85/414.06 = 250.04/x
  3. Step 3: Cross multiply
    299.85x = 414.06 × 250.04
  4. Step 4: Simplify right side
    299.85x = 103,530.74
  5. Step 5: Solve for x
    x = 103,530.74/299.85
  6. Step 6: Final answer
    x = 345.27

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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.