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Finding the Fourth Proportional to 300.29, 414.52 and 202.17

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Solution

The fourth proportional to 300.29, 414.52 and 202.17 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.29 : 414.52 = 202.17 : x
  2. Step 2: Convert to fraction form
    300.29/414.52 = 202.17/x
  3. Step 3: Cross multiply
    300.29x = 414.52 × 202.17
  4. Step 4: Simplify right side
    300.29x = 83,804.56
  5. Step 5: Solve for x
    x = 83,804.56/300.29
  6. Step 6: Final answer
    x = 279.08

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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.