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Finding the Fourth Proportional to 268.93, 403.80 and 223.57

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Solution

The fourth proportional to 268.93, 403.80 and 223.57 is: 335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.93 : 403.80 = 223.57 : x
  2. Step 2: Convert to fraction form
    268.93/403.80 = 223.57/x
  3. Step 3: Cross multiply
    268.93x = 403.80 × 223.57
  4. Step 4: Simplify right side
    268.93x = 90,277.57
  5. Step 5: Solve for x
    x = 90,277.57/268.93
  6. Step 6: Final answer
    x = 335.69

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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.