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Finding the Fourth Proportional to 270.14, 405.06 and 115.98

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Solution

The fourth proportional to 270.14, 405.06 and 115.98 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.14 : 405.06 = 115.98 : x
  2. Step 2: Convert to fraction form
    270.14/405.06 = 115.98/x
  3. Step 3: Cross multiply
    270.14x = 405.06 × 115.98
  4. Step 4: Simplify right side
    270.14x = 46,978.86
  5. Step 5: Solve for x
    x = 46,978.86/270.14
  6. Step 6: Final answer
    x = 173.91

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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.