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Finding the Fourth Proportional to 270.40, 405.33 and 107.86

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Solution

The fourth proportional to 270.40, 405.33 and 107.86 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.40 : 405.33 = 107.86 : x
  2. Step 2: Convert to fraction form
    270.40/405.33 = 107.86/x
  3. Step 3: Cross multiply
    270.40x = 405.33 × 107.86
  4. Step 4: Simplify right side
    270.40x = 43,718.89
  5. Step 5: Solve for x
    x = 43,718.89/270.40
  6. Step 6: Final answer
    x = 161.68

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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.