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Finding the Fourth Proportional to 270.54, 405.95 and 142.29

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Solution

The fourth proportional to 270.54, 405.95 and 142.29 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.54 : 405.95 = 142.29 : x
  2. Step 2: Convert to fraction form
    270.54/405.95 = 142.29/x
  3. Step 3: Cross multiply
    270.54x = 405.95 × 142.29
  4. Step 4: Simplify right side
    270.54x = 57,761.91
  5. Step 5: Solve for x
    x = 57,761.91/270.54
  6. Step 6: Final answer
    x = 213.51

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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.