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Finding the Fourth Proportional to 260.15, 358.17 and 194.54

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Solution

The fourth proportional to 260.15, 358.17 and 194.54 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.15 : 358.17 = 194.54 : x
  2. Step 2: Convert to fraction form
    260.15/358.17 = 194.54/x
  3. Step 3: Cross multiply
    260.15x = 358.17 × 194.54
  4. Step 4: Simplify right side
    260.15x = 69,678.39
  5. Step 5: Solve for x
    x = 69,678.39/260.15
  6. Step 6: Final answer
    x = 267.84

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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.