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Finding the Fourth Proportional to 270.80, 405.73 and 149.16

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Solution

The fourth proportional to 270.80, 405.73 and 149.16 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.80 : 405.73 = 149.16 : x
  2. Step 2: Convert to fraction form
    270.80/405.73 = 149.16/x
  3. Step 3: Cross multiply
    270.80x = 405.73 × 149.16
  4. Step 4: Simplify right side
    270.80x = 60,518.69
  5. Step 5: Solve for x
    x = 60,518.69/270.80
  6. Step 6: Final answer
    x = 223.48

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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.