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Finding the Fourth Proportional to 259.35, 357.93 and 197.07

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Solution

The fourth proportional to 259.35, 357.93 and 197.07 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.35 : 357.93 = 197.07 : x
  2. Step 2: Convert to fraction form
    259.35/357.93 = 197.07/x
  3. Step 3: Cross multiply
    259.35x = 357.93 × 197.07
  4. Step 4: Simplify right side
    259.35x = 70,535.92
  5. Step 5: Solve for x
    x = 70,535.92/259.35
  6. Step 6: Final answer
    x = 271.98

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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.