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Finding the Fourth Proportional to 258.93, 357.21 and 206.82

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Solution

The fourth proportional to 258.93, 357.21 and 206.82 is: 285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.93 : 357.21 = 206.82 : x
  2. Step 2: Convert to fraction form
    258.93/357.21 = 206.82/x
  3. Step 3: Cross multiply
    258.93x = 357.21 × 206.82
  4. Step 4: Simplify right side
    258.93x = 73,878.17
  5. Step 5: Solve for x
    x = 73,878.17/258.93
  6. Step 6: Final answer
    x = 285.32

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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.