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Finding the Fourth Proportional to 223.08, 334.74 and 212.76

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Solution

The fourth proportional to 223.08, 334.74 and 212.76 is: 319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.08 : 334.74 = 212.76 : x
  2. Step 2: Convert to fraction form
    223.08/334.74 = 212.76/x
  3. Step 3: Cross multiply
    223.08x = 334.74 × 212.76
  4. Step 4: Simplify right side
    223.08x = 71,219.28
  5. Step 5: Solve for x
    x = 71,219.28/223.08
  6. Step 6: Final answer
    x = 319.25

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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.