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Finding the Fourth Proportional to 270.23, 405.27 and 114.08

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Solution

The fourth proportional to 270.23, 405.27 and 114.08 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.23 : 405.27 = 114.08 : x
  2. Step 2: Convert to fraction form
    270.23/405.27 = 114.08/x
  3. Step 3: Cross multiply
    270.23x = 405.27 × 114.08
  4. Step 4: Simplify right side
    270.23x = 46,231.18
  5. Step 5: Solve for x
    x = 46,231.18/270.23
  6. Step 6: Final answer
    x = 171.08

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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.