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Finding the Fourth Proportional to 259.95, 358.28 and 194.43

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Solution

The fourth proportional to 259.95, 358.28 and 194.43 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.95 : 358.28 = 194.43 : x
  2. Step 2: Convert to fraction form
    259.95/358.28 = 194.43/x
  3. Step 3: Cross multiply
    259.95x = 358.28 × 194.43
  4. Step 4: Simplify right side
    259.95x = 69,659.41
  5. Step 5: Solve for x
    x = 69,659.41/259.95
  6. Step 6: Final answer
    x = 267.97

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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.