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Finding the Fourth Proportional to 270.09, 405.07 and 133

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Solution

The fourth proportional to 270.09, 405.07 and 133 is: 199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.09 : 405.07 = 133 : x
  2. Step 2: Convert to fraction form
    270.09/405.07 = 133/x
  3. Step 3: Cross multiply
    270.09x = 405.07 × 133
  4. Step 4: Simplify right side
    270.09x = 53,874.31
  5. Step 5: Solve for x
    x = 53,874.31/270.09
  6. Step 6: Final answer
    x = 199.47

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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.