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Finding the Fourth Proportional to 221.25, 303.98 and 177.51

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Solution

The fourth proportional to 221.25, 303.98 and 177.51 is: 243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.25 : 303.98 = 177.51 : x
  2. Step 2: Convert to fraction form
    221.25/303.98 = 177.51/x
  3. Step 3: Cross multiply
    221.25x = 303.98 × 177.51
  4. Step 4: Simplify right side
    221.25x = 53,959.49
  5. Step 5: Solve for x
    x = 53,959.49/221.25
  6. Step 6: Final answer
    x = 243.88

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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.