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Finding the Fourth Proportional to 272.64, 409.56 and 195.84

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Solution

The fourth proportional to 272.64, 409.56 and 195.84 is: 294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.64 : 409.56 = 195.84 : x
  2. Step 2: Convert to fraction form
    272.64/409.56 = 195.84/x
  3. Step 3: Cross multiply
    272.64x = 409.56 × 195.84
  4. Step 4: Simplify right side
    272.64x = 80,208.23
  5. Step 5: Solve for x
    x = 80,208.23/272.64
  6. Step 6: Final answer
    x = 294.19

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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.