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Finding the Fourth Proportional to 258.82, 357.68 and 212.12

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Solution

The fourth proportional to 258.82, 357.68 and 212.12 is: 293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.82 : 357.68 = 212.12 : x
  2. Step 2: Convert to fraction form
    258.82/357.68 = 212.12/x
  3. Step 3: Cross multiply
    258.82x = 357.68 × 212.12
  4. Step 4: Simplify right side
    258.82x = 75,871.16
  5. Step 5: Solve for x
    x = 75,871.16/258.82
  6. Step 6: Final answer
    x = 293.15

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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.