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Finding the Fourth Proportional to 259.82, 358.60 and 197.56

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Solution

The fourth proportional to 259.82, 358.60 and 197.56 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.82 : 358.60 = 197.56 : x
  2. Step 2: Convert to fraction form
    259.82/358.60 = 197.56/x
  3. Step 3: Cross multiply
    259.82x = 358.60 × 197.56
  4. Step 4: Simplify right side
    259.82x = 70,845.02
  5. Step 5: Solve for x
    x = 70,845.02/259.82
  6. Step 6: Final answer
    x = 272.67

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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.