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Finding the Fourth Proportional to 258.99, 357.41 and 154.14

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Solution

The fourth proportional to 258.99, 357.41 and 154.14 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.99 : 357.41 = 154.14 : x
  2. Step 2: Convert to fraction form
    258.99/357.41 = 154.14/x
  3. Step 3: Cross multiply
    258.99x = 357.41 × 154.14
  4. Step 4: Simplify right side
    258.99x = 55,089.39
  5. Step 5: Solve for x
    x = 55,089.39/258.99
  6. Step 6: Final answer
    x = 212.71

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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.