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Finding the Fourth Proportional to 273.78, 375.84 and 234.90

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Solution

The fourth proportional to 273.78, 375.84 and 234.90 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.78 : 375.84 = 234.90 : x
  2. Step 2: Convert to fraction form
    273.78/375.84 = 234.90/x
  3. Step 3: Cross multiply
    273.78x = 375.84 × 234.90
  4. Step 4: Simplify right side
    273.78x = 88,284.82
  5. Step 5: Solve for x
    x = 88,284.82/273.78
  6. Step 6: Final answer
    x = 322.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.