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Finding the Fourth Proportional to 270.34, 405.42 and 105.79

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Solution

The fourth proportional to 270.34, 405.42 and 105.79 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.34 : 405.42 = 105.79 : x
  2. Step 2: Convert to fraction form
    270.34/405.42 = 105.79/x
  3. Step 3: Cross multiply
    270.34x = 405.42 × 105.79
  4. Step 4: Simplify right side
    270.34x = 42,889.38
  5. Step 5: Solve for x
    x = 42,889.38/270.34
  6. Step 6: Final answer
    x = 158.65

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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.