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Finding the Fourth Proportional to 268.73, 370.45 and 194.93

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Solution

The fourth proportional to 268.73, 370.45 and 194.93 is: 268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.73 : 370.45 = 194.93 : x
  2. Step 2: Convert to fraction form
    268.73/370.45 = 194.93/x
  3. Step 3: Cross multiply
    268.73x = 370.45 × 194.93
  4. Step 4: Simplify right side
    268.73x = 72,211.82
  5. Step 5: Solve for x
    x = 72,211.82/268.73
  6. Step 6: Final answer
    x = 268.72

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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.