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Finding the Fourth Proportional to 260.56, 358.59 and 197.38

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Solution

The fourth proportional to 260.56, 358.59 and 197.38 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.56 : 358.59 = 197.38 : x
  2. Step 2: Convert to fraction form
    260.56/358.59 = 197.38/x
  3. Step 3: Cross multiply
    260.56x = 358.59 × 197.38
  4. Step 4: Simplify right side
    260.56x = 70,778.49
  5. Step 5: Solve for x
    x = 70,778.49/260.56
  6. Step 6: Final answer
    x = 271.64

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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.