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Finding the Fourth Proportional to 223.36, 306.29 and 201.46

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Solution

The fourth proportional to 223.36, 306.29 and 201.46 is: 276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.36 : 306.29 = 201.46 : x
  2. Step 2: Convert to fraction form
    223.36/306.29 = 201.46/x
  3. Step 3: Cross multiply
    223.36x = 306.29 × 201.46
  4. Step 4: Simplify right side
    223.36x = 61,705.18
  5. Step 5: Solve for x
    x = 61,705.18/223.36
  6. Step 6: Final answer
    x = 276.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.