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Finding the Fourth Proportional to 300.92, 414.80 and 202.51

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Solution

The fourth proportional to 300.92, 414.80 and 202.51 is: 279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 414.80 = 202.51 : x
  2. Step 2: Convert to fraction form
    300.92/414.80 = 202.51/x
  3. Step 3: Cross multiply
    300.92x = 414.80 × 202.51
  4. Step 4: Simplify right side
    300.92x = 83,999.68
  5. Step 5: Solve for x
    x = 83,999.68/300.92
  6. Step 6: Final answer
    x = 279.14

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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.