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Finding the Fourth Proportional to 270.15, 405.25 and 115.98

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Solution

The fourth proportional to 270.15, 405.25 and 115.98 is: 173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.15 : 405.25 = 115.98 : x
  2. Step 2: Convert to fraction form
    270.15/405.25 = 115.98/x
  3. Step 3: Cross multiply
    270.15x = 405.25 × 115.98
  4. Step 4: Simplify right side
    270.15x = 47,002.02
  5. Step 5: Solve for x
    x = 47,002.02/270.15
  6. Step 6: Final answer
    x = 173.98

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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.