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Finding the Fourth Proportional to 300.67, 414.79 and 202.39

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Solution

The fourth proportional to 300.67, 414.79 and 202.39 is: 279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.67 : 414.79 = 202.39 : x
  2. Step 2: Convert to fraction form
    300.67/414.79 = 202.39/x
  3. Step 3: Cross multiply
    300.67x = 414.79 × 202.39
  4. Step 4: Simplify right side
    300.67x = 83,947.81
  5. Step 5: Solve for x
    x = 83,947.81/300.67
  6. Step 6: Final answer
    x = 279.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.