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Finding the Fourth Proportional to 223.16, 334.96 and 146.27

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Solution

The fourth proportional to 223.16, 334.96 and 146.27 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 334.96 = 146.27 : x
  2. Step 2: Convert to fraction form
    223.16/334.96 = 146.27/x
  3. Step 3: Cross multiply
    223.16x = 334.96 × 146.27
  4. Step 4: Simplify right side
    223.16x = 48,995.07
  5. Step 5: Solve for x
    x = 48,995.07/223.16
  6. Step 6: Final answer
    x = 219.56

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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.