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Finding the Fourth Proportional to 274.34, 411.04 and 193.03

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Solution

The fourth proportional to 274.34, 411.04 and 193.03 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.34 : 411.04 = 193.03 : x
  2. Step 2: Convert to fraction form
    274.34/411.04 = 193.03/x
  3. Step 3: Cross multiply
    274.34x = 411.04 × 193.03
  4. Step 4: Simplify right side
    274.34x = 79,340.03
  5. Step 5: Solve for x
    x = 79,340.03/274.34
  6. Step 6: Final answer
    x = 289.21

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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.