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Finding the Fourth Proportional to 258.10, 355.84 and 211.42

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Solution

The fourth proportional to 258.10, 355.84 and 211.42 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.10 : 355.84 = 211.42 : x
  2. Step 2: Convert to fraction form
    258.10/355.84 = 211.42/x
  3. Step 3: Cross multiply
    258.10x = 355.84 × 211.42
  4. Step 4: Simplify right side
    258.10x = 75,231.69
  5. Step 5: Solve for x
    x = 75,231.69/258.10
  6. Step 6: Final answer
    x = 291.48

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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.