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Finding the Fourth Proportional to 270.84, 406.29 and 203.22

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Solution

The fourth proportional to 270.84, 406.29 and 203.22 is: 304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 406.29 = 203.22 : x
  2. Step 2: Convert to fraction form
    270.84/406.29 = 203.22/x
  3. Step 3: Cross multiply
    270.84x = 406.29 × 203.22
  4. Step 4: Simplify right side
    270.84x = 82,566.25
  5. Step 5: Solve for x
    x = 82,566.25/270.84
  6. Step 6: Final answer
    x = 304.85

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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.