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Finding the Fourth Proportional to 270.15, 405.28 and 107.84

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Solution

The fourth proportional to 270.15, 405.28 and 107.84 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.15 : 405.28 = 107.84 : x
  2. Step 2: Convert to fraction form
    270.15/405.28 = 107.84/x
  3. Step 3: Cross multiply
    270.15x = 405.28 × 107.84
  4. Step 4: Simplify right side
    270.15x = 43,702.83
  5. Step 5: Solve for x
    x = 43,702.83/270.15
  6. Step 6: Final answer
    x = 161.77

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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.