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Finding the Fourth Proportional to 275.00, 411.73 and 193.79

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Solution

The fourth proportional to 275.00, 411.73 and 193.79 is: 290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.00 : 411.73 = 193.79 : x
  2. Step 2: Convert to fraction form
    275.00/411.73 = 193.79/x
  3. Step 3: Cross multiply
    275.00x = 411.73 × 193.79
  4. Step 4: Simplify right side
    275.00x = 79,790.79
  5. Step 5: Solve for x
    x = 79,790.79/275.00
  6. Step 6: Final answer
    x = 290.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.