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Finding the Fourth Proportional to 270.36, 405.14 and 201.78

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Solution

The fourth proportional to 270.36, 405.14 and 201.78 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.36 : 405.14 = 201.78 : x
  2. Step 2: Convert to fraction form
    270.36/405.14 = 201.78/x
  3. Step 3: Cross multiply
    270.36x = 405.14 × 201.78
  4. Step 4: Simplify right side
    270.36x = 81,748.14
  5. Step 5: Solve for x
    x = 81,748.14/270.36
  6. Step 6: Final answer
    x = 302.37

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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.