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Finding the Fourth Proportional to 277.59, 382.95 and 194.67

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Solution

The fourth proportional to 277.59, 382.95 and 194.67 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.59 : 382.95 = 194.67 : x
  2. Step 2: Convert to fraction form
    277.59/382.95 = 194.67/x
  3. Step 3: Cross multiply
    277.59x = 382.95 × 194.67
  4. Step 4: Simplify right side
    277.59x = 74,548.88
  5. Step 5: Solve for x
    x = 74,548.88/277.59
  6. Step 6: Final answer
    x = 268.56

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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.