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Finding the Fourth Proportional to 305.87, 421.99 and 201.02

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Solution

The fourth proportional to 305.87, 421.99 and 201.02 is: 277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 421.99 = 201.02 : x
  2. Step 2: Convert to fraction form
    305.87/421.99 = 201.02/x
  3. Step 3: Cross multiply
    305.87x = 421.99 × 201.02
  4. Step 4: Simplify right side
    305.87x = 84,826.87
  5. Step 5: Solve for x
    x = 84,826.87/305.87
  6. Step 6: Final answer
    x = 277.33

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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.