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Finding the Fourth Proportional to 270.61, 405.57 and 116.36

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Solution

The fourth proportional to 270.61, 405.57 and 116.36 is: 174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.61 : 405.57 = 116.36 : x
  2. Step 2: Convert to fraction form
    270.61/405.57 = 116.36/x
  3. Step 3: Cross multiply
    270.61x = 405.57 × 116.36
  4. Step 4: Simplify right side
    270.61x = 47,190.10
  5. Step 5: Solve for x
    x = 47,190.10/270.61
  6. Step 6: Final answer
    x = 174.39

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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.