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Finding the Fourth Proportional to 258.81, 357.20 and 199.76

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Solution

The fourth proportional to 258.81, 357.20 and 199.76 is: 275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.81 : 357.20 = 199.76 : x
  2. Step 2: Convert to fraction form
    258.81/357.20 = 199.76/x
  3. Step 3: Cross multiply
    258.81x = 357.20 × 199.76
  4. Step 4: Simplify right side
    258.81x = 71,351.49
  5. Step 5: Solve for x
    x = 71,351.49/258.81
  6. Step 6: Final answer
    x = 275.69

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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.