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Finding the Fourth Proportional to 301.73, 452.06 and 210.25

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Solution

The fourth proportional to 301.73, 452.06 and 210.25 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.73 : 452.06 = 210.25 : x
  2. Step 2: Convert to fraction form
    301.73/452.06 = 210.25/x
  3. Step 3: Cross multiply
    301.73x = 452.06 × 210.25
  4. Step 4: Simplify right side
    301.73x = 95,042.30
  5. Step 5: Solve for x
    x = 95,042.30/301.73
  6. Step 6: Final answer
    x = 314.99

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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.