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Finding the Fourth Proportional to 273.85, 410.85 and 111.65

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Solution

The fourth proportional to 273.85, 410.85 and 111.65 is: 167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.85 : 410.85 = 111.65 : x
  2. Step 2: Convert to fraction form
    273.85/410.85 = 111.65/x
  3. Step 3: Cross multiply
    273.85x = 410.85 × 111.65
  4. Step 4: Simplify right side
    273.85x = 45,871.40
  5. Step 5: Solve for x
    x = 45,871.40/273.85
  6. Step 6: Final answer
    x = 167.51

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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.