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Finding the Fourth Proportional to 273.84, 377.52 and 208.32

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Solution

The fourth proportional to 273.84, 377.52 and 208.32 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.84 : 377.52 = 208.32 : x
  2. Step 2: Convert to fraction form
    273.84/377.52 = 208.32/x
  3. Step 3: Cross multiply
    273.84x = 377.52 × 208.32
  4. Step 4: Simplify right side
    273.84x = 78,644.97
  5. Step 5: Solve for x
    x = 78,644.97/273.84
  6. Step 6: Final answer
    x = 287.19

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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.