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Finding the Fourth Proportional to 274.57, 412.14 and 112.36

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Solution

The fourth proportional to 274.57, 412.14 and 112.36 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.57 : 412.14 = 112.36 : x
  2. Step 2: Convert to fraction form
    274.57/412.14 = 112.36/x
  3. Step 3: Cross multiply
    274.57x = 412.14 × 112.36
  4. Step 4: Simplify right side
    274.57x = 46,308.05
  5. Step 5: Solve for x
    x = 46,308.05/274.57
  6. Step 6: Final answer
    x = 168.66

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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.