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Finding the Fourth Proportional to 223.24, 307.80 and 198.60

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Solution

The fourth proportional to 223.24, 307.80 and 198.60 is: 273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.24 : 307.80 = 198.60 : x
  2. Step 2: Convert to fraction form
    223.24/307.80 = 198.60/x
  3. Step 3: Cross multiply
    223.24x = 307.80 × 198.60
  4. Step 4: Simplify right side
    223.24x = 61,129.08
  5. Step 5: Solve for x
    x = 61,129.08/223.24
  6. Step 6: Final answer
    x = 273.83

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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.