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Finding the Fourth Proportional to 273.96, 410.98 and 137.01

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Solution

The fourth proportional to 273.96, 410.98 and 137.01 is: 205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 410.98 = 137.01 : x
  2. Step 2: Convert to fraction form
    273.96/410.98 = 137.01/x
  3. Step 3: Cross multiply
    273.96x = 410.98 × 137.01
  4. Step 4: Simplify right side
    273.96x = 56,308.37
  5. Step 5: Solve for x
    x = 56,308.37/273.96
  6. Step 6: Final answer
    x = 205.54

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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.