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Finding the Fourth Proportional to 273.22, 409.08 and 221.74

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Solution

The fourth proportional to 273.22, 409.08 and 221.74 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.22 : 409.08 = 221.74 : x
  2. Step 2: Convert to fraction form
    273.22/409.08 = 221.74/x
  3. Step 3: Cross multiply
    273.22x = 409.08 × 221.74
  4. Step 4: Simplify right side
    273.22x = 90,709.40
  5. Step 5: Solve for x
    x = 90,709.40/273.22
  6. Step 6: Final answer
    x = 332.00

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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.