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Finding the Fourth Proportional to 258.76, 359.23 and 250.84

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Solution

The fourth proportional to 258.76, 359.23 and 250.84 is: 348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.76 : 359.23 = 250.84 : x
  2. Step 2: Convert to fraction form
    258.76/359.23 = 250.84/x
  3. Step 3: Cross multiply
    258.76x = 359.23 × 250.84
  4. Step 4: Simplify right side
    258.76x = 90,109.25
  5. Step 5: Solve for x
    x = 90,109.25/258.76
  6. Step 6: Final answer
    x = 348.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.