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Finding the Fourth Proportional to 258.44, 356.76 and 192.83

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Solution

The fourth proportional to 258.44, 356.76 and 192.83 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 356.76 = 192.83 : x
  2. Step 2: Convert to fraction form
    258.44/356.76 = 192.83/x
  3. Step 3: Cross multiply
    258.44x = 356.76 × 192.83
  4. Step 4: Simplify right side
    258.44x = 68,793.07
  5. Step 5: Solve for x
    x = 68,793.07/258.44
  6. Step 6: Final answer
    x = 266.19

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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.