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Finding the Fourth Proportional to 273.98, 378.23 and 210.47

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Solution

The fourth proportional to 273.98, 378.23 and 210.47 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 378.23 = 210.47 : x
  2. Step 2: Convert to fraction form
    273.98/378.23 = 210.47/x
  3. Step 3: Cross multiply
    273.98x = 378.23 × 210.47
  4. Step 4: Simplify right side
    273.98x = 79,603.12
  5. Step 5: Solve for x
    x = 79,603.12/273.98
  6. Step 6: Final answer
    x = 290.55

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