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Finding the Fourth Proportional to 301.08, 453.27 and 205.50

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Solution

The fourth proportional to 301.08, 453.27 and 205.50 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 453.27 = 205.50 : x
  2. Step 2: Convert to fraction form
    301.08/453.27 = 205.50/x
  3. Step 3: Cross multiply
    301.08x = 453.27 × 205.50
  4. Step 4: Simplify right side
    301.08x = 93,146.99
  5. Step 5: Solve for x
    x = 93,146.99/301.08
  6. Step 6: Final answer
    x = 309.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.