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Finding the Fourth Proportional to 259.40, 357.66 and 197.04

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Solution

The fourth proportional to 259.40, 357.66 and 197.04 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.40 : 357.66 = 197.04 : x
  2. Step 2: Convert to fraction form
    259.40/357.66 = 197.04/x
  3. Step 3: Cross multiply
    259.40x = 357.66 × 197.04
  4. Step 4: Simplify right side
    259.40x = 70,473.33
  5. Step 5: Solve for x
    x = 70,473.33/259.40
  6. Step 6: Final answer
    x = 271.68

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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.