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Finding the Fourth Proportional to 272.40, 407.82 and 204.24

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Solution

The fourth proportional to 272.40, 407.82 and 204.24 is: 305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.40 : 407.82 = 204.24 : x
  2. Step 2: Convert to fraction form
    272.40/407.82 = 204.24/x
  3. Step 3: Cross multiply
    272.40x = 407.82 × 204.24
  4. Step 4: Simplify right side
    272.40x = 83,293.16
  5. Step 5: Solve for x
    x = 83,293.16/272.40
  6. Step 6: Final answer
    x = 305.78

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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.