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Finding the Fourth Proportional to 270.01, 405.06 and 115.94

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Solution

The fourth proportional to 270.01, 405.06 and 115.94 is: 173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.01 : 405.06 = 115.94 : x
  2. Step 2: Convert to fraction form
    270.01/405.06 = 115.94/x
  3. Step 3: Cross multiply
    270.01x = 405.06 × 115.94
  4. Step 4: Simplify right side
    270.01x = 46,962.66
  5. Step 5: Solve for x
    x = 46,962.66/270.01
  6. Step 6: Final answer
    x = 173.93

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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.