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Finding the Fourth Proportional to 223.58, 336.77 and 209.91

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Solution

The fourth proportional to 223.58, 336.77 and 209.91 is: 316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.58 : 336.77 = 209.91 : x
  2. Step 2: Convert to fraction form
    223.58/336.77 = 209.91/x
  3. Step 3: Cross multiply
    223.58x = 336.77 × 209.91
  4. Step 4: Simplify right side
    223.58x = 70,691.68
  5. Step 5: Solve for x
    x = 70,691.68/223.58
  6. Step 6: Final answer
    x = 316.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.