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Finding the Fourth Proportional to 258.87, 357.21 and 219.69

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Solution

The fourth proportional to 258.87, 357.21 and 219.69 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.87 : 357.21 = 219.69 : x
  2. Step 2: Convert to fraction form
    258.87/357.21 = 219.69/x
  3. Step 3: Cross multiply
    258.87x = 357.21 × 219.69
  4. Step 4: Simplify right side
    258.87x = 78,474.46
  5. Step 5: Solve for x
    x = 78,474.46/258.87
  6. Step 6: Final answer
    x = 303.14

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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.