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Finding the Fourth Proportional to 223.58, 335.47 and 126.18

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Solution

The fourth proportional to 223.58, 335.47 and 126.18 is: 189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.58 : 335.47 = 126.18 : x
  2. Step 2: Convert to fraction form
    223.58/335.47 = 126.18/x
  3. Step 3: Cross multiply
    223.58x = 335.47 × 126.18
  4. Step 4: Simplify right side
    223.58x = 42,329.76
  5. Step 5: Solve for x
    x = 42,329.76/223.58
  6. Step 6: Final answer
    x = 189.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.