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Finding the Fourth Proportional to 223.23, 333.98 and 162.21

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Solution

The fourth proportional to 223.23, 333.98 and 162.21 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 333.98 = 162.21 : x
  2. Step 2: Convert to fraction form
    223.23/333.98 = 162.21/x
  3. Step 3: Cross multiply
    223.23x = 333.98 × 162.21
  4. Step 4: Simplify right side
    223.23x = 54,174.08
  5. Step 5: Solve for x
    x = 54,174.08/223.23
  6. Step 6: Final answer
    x = 242.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.