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Finding the Fourth Proportional to 259.77, 357.41 and 197.24

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Solution

The fourth proportional to 259.77, 357.41 and 197.24 is: 271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.77 : 357.41 = 197.24 : x
  2. Step 2: Convert to fraction form
    259.77/357.41 = 197.24/x
  3. Step 3: Cross multiply
    259.77x = 357.41 × 197.24
  4. Step 4: Simplify right side
    259.77x = 70,496.26
  5. Step 5: Solve for x
    x = 70,496.26/259.77
  6. Step 6: Final answer
    x = 271.38

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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.