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Finding the Fourth Proportional to 273.70, 410.64 and 129.46

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Solution

The fourth proportional to 273.70, 410.64 and 129.46 is: 194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.70 : 410.64 = 129.46 : x
  2. Step 2: Convert to fraction form
    273.70/410.64 = 129.46/x
  3. Step 3: Cross multiply
    273.70x = 410.64 × 129.46
  4. Step 4: Simplify right side
    273.70x = 53,161.45
  5. Step 5: Solve for x
    x = 53,161.45/273.70
  6. Step 6: Final answer
    x = 194.23

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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.