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Finding the Fourth Proportional to 223.88, 309.08 and 165.56

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Solution

The fourth proportional to 223.88, 309.08 and 165.56 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 309.08 = 165.56 : x
  2. Step 2: Convert to fraction form
    223.88/309.08 = 165.56/x
  3. Step 3: Cross multiply
    223.88x = 309.08 × 165.56
  4. Step 4: Simplify right side
    223.88x = 51,170.15
  5. Step 5: Solve for x
    x = 51,170.15/223.88
  6. Step 6: Final answer
    x = 228.57

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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.