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Finding the Fourth Proportional to 250.23, 344.69 and 208.77

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Solution

The fourth proportional to 250.23, 344.69 and 208.77 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.23 : 344.69 = 208.77 : x
  2. Step 2: Convert to fraction form
    250.23/344.69 = 208.77/x
  3. Step 3: Cross multiply
    250.23x = 344.69 × 208.77
  4. Step 4: Simplify right side
    250.23x = 71,960.93
  5. Step 5: Solve for x
    x = 71,960.93/250.23
  6. Step 6: Final answer
    x = 287.58

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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.