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Finding the Fourth Proportional to 300.94, 414.93 and 202.48

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Solution

The fourth proportional to 300.94, 414.93 and 202.48 is: 279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 414.93 = 202.48 : x
  2. Step 2: Convert to fraction form
    300.94/414.93 = 202.48/x
  3. Step 3: Cross multiply
    300.94x = 414.93 × 202.48
  4. Step 4: Simplify right side
    300.94x = 84,015.03
  5. Step 5: Solve for x
    x = 84,015.03/300.94
  6. Step 6: Final answer
    x = 279.18

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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.