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Finding the Fourth Proportional to 270.30, 405.09 and 123.99

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Solution

The fourth proportional to 270.30, 405.09 and 123.99 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.30 : 405.09 = 123.99 : x
  2. Step 2: Convert to fraction form
    270.30/405.09 = 123.99/x
  3. Step 3: Cross multiply
    270.30x = 405.09 × 123.99
  4. Step 4: Simplify right side
    270.30x = 50,228.12
  5. Step 5: Solve for x
    x = 50,228.12/270.30
  6. Step 6: Final answer
    x = 185.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.