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Finding the Fourth Proportional to 223.80, 309 and 199.20

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Solution

The fourth proportional to 223.80, 309 and 199.20 is: 275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.80 : 309 = 199.20 : x
  2. Step 2: Convert to fraction form
    223.80/309 = 199.20/x
  3. Step 3: Cross multiply
    223.80x = 309 × 199.20
  4. Step 4: Simplify right side
    223.80x = 61,552.80
  5. Step 5: Solve for x
    x = 61,552.80/223.80
  6. Step 6: Final answer
    x = 275.03

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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.