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Finding the Fourth Proportional to 301.23, 451.31 and 209.75

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Solution

The fourth proportional to 301.23, 451.31 and 209.75 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.23 : 451.31 = 209.75 : x
  2. Step 2: Convert to fraction form
    301.23/451.31 = 209.75/x
  3. Step 3: Cross multiply
    301.23x = 451.31 × 209.75
  4. Step 4: Simplify right side
    301.23x = 94,658.97
  5. Step 5: Solve for x
    x = 94,658.97/301.23
  6. Step 6: Final answer
    x = 314.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.