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Finding the Fourth Proportional to 300.74, 414.80 and 202.34

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Solution

The fourth proportional to 300.74, 414.80 and 202.34 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.74 : 414.80 = 202.34 : x
  2. Step 2: Convert to fraction form
    300.74/414.80 = 202.34/x
  3. Step 3: Cross multiply
    300.74x = 414.80 × 202.34
  4. Step 4: Simplify right side
    300.74x = 83,930.63
  5. Step 5: Solve for x
    x = 83,930.63/300.74
  6. Step 6: Final answer
    x = 279.08

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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.