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Finding the Fourth Proportional to 297.87, 411.04 and 187.37

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Solution

The fourth proportional to 297.87, 411.04 and 187.37 is: 258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 411.04 = 187.37 : x
  2. Step 2: Convert to fraction form
    297.87/411.04 = 187.37/x
  3. Step 3: Cross multiply
    297.87x = 411.04 × 187.37
  4. Step 4: Simplify right side
    297.87x = 77,016.56
  5. Step 5: Solve for x
    x = 77,016.56/297.87
  6. Step 6: Final answer
    x = 258.56

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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.