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Finding the Fourth Proportional to 223.56, 333.68 and 169.20

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Solution

The fourth proportional to 223.56, 333.68 and 169.20 is: 252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.56 : 333.68 = 169.20 : x
  2. Step 2: Convert to fraction form
    223.56/333.68 = 169.20/x
  3. Step 3: Cross multiply
    223.56x = 333.68 × 169.20
  4. Step 4: Simplify right side
    223.56x = 56,457.81
  5. Step 5: Solve for x
    x = 56,457.81/223.56
  6. Step 6: Final answer
    x = 252.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.