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Finding the Fourth Proportional to 274.99, 412.43 and 128.73

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Solution

The fourth proportional to 274.99, 412.43 and 128.73 is: 193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.99 : 412.43 = 128.73 : x
  2. Step 2: Convert to fraction form
    274.99/412.43 = 128.73/x
  3. Step 3: Cross multiply
    274.99x = 412.43 × 128.73
  4. Step 4: Simplify right side
    274.99x = 53,092.11
  5. Step 5: Solve for x
    x = 53,092.11/274.99
  6. Step 6: Final answer
    x = 193.07

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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.