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Finding the Fourth Proportional to 274.81, 412.15 and 193.69

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Solution

The fourth proportional to 274.81, 412.15 and 193.69 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.81 : 412.15 = 193.69 : x
  2. Step 2: Convert to fraction form
    274.81/412.15 = 193.69/x
  3. Step 3: Cross multiply
    274.81x = 412.15 × 193.69
  4. Step 4: Simplify right side
    274.81x = 79,826.30
  5. Step 5: Solve for x
    x = 79,826.30/274.81
  6. Step 6: Final answer
    x = 290.48

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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.