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Finding the Fourth Proportional to 282.39, 389.81 and 194.00

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Solution

The fourth proportional to 282.39, 389.81 and 194.00 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.39 : 389.81 = 194.00 : x
  2. Step 2: Convert to fraction form
    282.39/389.81 = 194.00/x
  3. Step 3: Cross multiply
    282.39x = 389.81 × 194.00
  4. Step 4: Simplify right side
    282.39x = 75,621.68
  5. Step 5: Solve for x
    x = 75,621.68/282.39
  6. Step 6: Final answer
    x = 267.80

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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.