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Finding the Fourth Proportional to 223.30, 334.96 and 115.03

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Solution

The fourth proportional to 223.30, 334.96 and 115.03 is: 172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.30 : 334.96 = 115.03 : x
  2. Step 2: Convert to fraction form
    223.30/334.96 = 115.03/x
  3. Step 3: Cross multiply
    223.30x = 334.96 × 115.03
  4. Step 4: Simplify right side
    223.30x = 38,530.45
  5. Step 5: Solve for x
    x = 38,530.45/223.30
  6. Step 6: Final answer
    x = 172.55

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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.