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Finding the Fourth Proportional to 277.13, 382.45 and 194.26

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Solution

The fourth proportional to 277.13, 382.45 and 194.26 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.13 : 382.45 = 194.26 : x
  2. Step 2: Convert to fraction form
    277.13/382.45 = 194.26/x
  3. Step 3: Cross multiply
    277.13x = 382.45 × 194.26
  4. Step 4: Simplify right side
    277.13x = 74,294.74
  5. Step 5: Solve for x
    x = 74,294.74/277.13
  6. Step 6: Final answer
    x = 268.09

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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.