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Finding the Fourth Proportional to 221.99, 305.08 and 182.58

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Solution

The fourth proportional to 221.99, 305.08 and 182.58 is: 250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.99 : 305.08 = 182.58 : x
  2. Step 2: Convert to fraction form
    221.99/305.08 = 182.58/x
  3. Step 3: Cross multiply
    221.99x = 305.08 × 182.58
  4. Step 4: Simplify right side
    221.99x = 55,701.51
  5. Step 5: Solve for x
    x = 55,701.51/221.99
  6. Step 6: Final answer
    x = 250.92

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