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Finding the Fourth Proportional to 258.54, 357.29 and 211.83

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Solution

The fourth proportional to 258.54, 357.29 and 211.83 is: 292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.54 : 357.29 = 211.83 : x
  2. Step 2: Convert to fraction form
    258.54/357.29 = 211.83/x
  3. Step 3: Cross multiply
    258.54x = 357.29 × 211.83
  4. Step 4: Simplify right side
    258.54x = 75,686.75
  5. Step 5: Solve for x
    x = 75,686.75/258.54
  6. Step 6: Final answer
    x = 292.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.