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Finding the Fourth Proportional to 273.96, 378.06 and 175.80

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Solution

The fourth proportional to 273.96, 378.06 and 175.80 is: 242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 378.06 = 175.80 : x
  2. Step 2: Convert to fraction form
    273.96/378.06 = 175.80/x
  3. Step 3: Cross multiply
    273.96x = 378.06 × 175.80
  4. Step 4: Simplify right side
    273.96x = 66,462.95
  5. Step 5: Solve for x
    x = 66,462.95/273.96
  6. Step 6: Final answer
    x = 242.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.