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Finding the Fourth Proportional to 258.42, 356.74 and 195.76

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Solution

The fourth proportional to 258.42, 356.74 and 195.76 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 356.74 = 195.76 : x
  2. Step 2: Convert to fraction form
    258.42/356.74 = 195.76/x
  3. Step 3: Cross multiply
    258.42x = 356.74 × 195.76
  4. Step 4: Simplify right side
    258.42x = 69,833.64
  5. Step 5: Solve for x
    x = 69,833.64/258.42
  6. Step 6: Final answer
    x = 270.23

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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.