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Finding the Fourth Proportional to 301.05, 414.78 and 202.63

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Solution

The fourth proportional to 301.05, 414.78 and 202.63 is: 279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.05 : 414.78 = 202.63 : x
  2. Step 2: Convert to fraction form
    301.05/414.78 = 202.63/x
  3. Step 3: Cross multiply
    301.05x = 414.78 × 202.63
  4. Step 4: Simplify right side
    301.05x = 84,047.38
  5. Step 5: Solve for x
    x = 84,047.38/301.05
  6. Step 6: Final answer
    x = 279.19

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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.