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Finding the Fourth Proportional to 258.69, 357.09 and 189.26

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Solution

The fourth proportional to 258.69, 357.09 and 189.26 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.69 : 357.09 = 189.26 : x
  2. Step 2: Convert to fraction form
    258.69/357.09 = 189.26/x
  3. Step 3: Cross multiply
    258.69x = 357.09 × 189.26
  4. Step 4: Simplify right side
    258.69x = 67,581.07
  5. Step 5: Solve for x
    x = 67,581.07/258.69
  6. Step 6: Final answer
    x = 261.24

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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.