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Finding the Fourth Proportional to 223.83, 309.11 and 174.22

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Solution

The fourth proportional to 223.83, 309.11 and 174.22 is: 240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.83 : 309.11 = 174.22 : x
  2. Step 2: Convert to fraction form
    223.83/309.11 = 174.22/x
  3. Step 3: Cross multiply
    223.83x = 309.11 × 174.22
  4. Step 4: Simplify right side
    223.83x = 53,853.14
  5. Step 5: Solve for x
    x = 53,853.14/223.83
  6. Step 6: Final answer
    x = 240.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.