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Finding the Fourth Proportional to 223.68, 334.56 and 194.88

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Solution

The fourth proportional to 223.68, 334.56 and 194.88 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.68 : 334.56 = 194.88 : x
  2. Step 2: Convert to fraction form
    223.68/334.56 = 194.88/x
  3. Step 3: Cross multiply
    223.68x = 334.56 × 194.88
  4. Step 4: Simplify right side
    223.68x = 65,199.05
  5. Step 5: Solve for x
    x = 65,199.05/223.68
  6. Step 6: Final answer
    x = 291.48

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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.