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Finding the Fourth Proportional to 300.84, 414.90 and 213.90

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Solution

The fourth proportional to 300.84, 414.90 and 213.90 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.84 : 414.90 = 213.90 : x
  2. Step 2: Convert to fraction form
    300.84/414.90 = 213.90/x
  3. Step 3: Cross multiply
    300.84x = 414.90 × 213.90
  4. Step 4: Simplify right side
    300.84x = 88,747.11
  5. Step 5: Solve for x
    x = 88,747.11/300.84
  6. Step 6: Final answer
    x = 295.00

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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.