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Finding the Fourth Proportional to 273.99, 411.03 and 129.63

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Solution

The fourth proportional to 273.99, 411.03 and 129.63 is: 194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.99 : 411.03 = 129.63 : x
  2. Step 2: Convert to fraction form
    273.99/411.03 = 129.63/x
  3. Step 3: Cross multiply
    273.99x = 411.03 × 129.63
  4. Step 4: Simplify right side
    273.99x = 53,281.82
  5. Step 5: Solve for x
    x = 53,281.82/273.99
  6. Step 6: Final answer
    x = 194.47

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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.