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Finding the Fourth Proportional to 273.32, 409.56 and 209

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Solution

The fourth proportional to 273.32, 409.56 and 209 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.32 : 409.56 = 209 : x
  2. Step 2: Convert to fraction form
    273.32/409.56 = 209/x
  3. Step 3: Cross multiply
    273.32x = 409.56 × 209
  4. Step 4: Simplify right side
    273.32x = 85,598.04
  5. Step 5: Solve for x
    x = 85,598.04/273.32
  6. Step 6: Final answer
    x = 313.18

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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.