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Finding the Fourth Proportional to 301.96, 416.78 and 202.38

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Solution

The fourth proportional to 301.96, 416.78 and 202.38 is: 279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 416.78 = 202.38 : x
  2. Step 2: Convert to fraction form
    301.96/416.78 = 202.38/x
  3. Step 3: Cross multiply
    301.96x = 416.78 × 202.38
  4. Step 4: Simplify right side
    301.96x = 84,347.94
  5. Step 5: Solve for x
    x = 84,347.94/301.96
  6. Step 6: Final answer
    x = 279.33

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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.