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Finding the Fourth Proportional to 268.54, 370.34 and 206.26

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Solution

The fourth proportional to 268.54, 370.34 and 206.26 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.54 : 370.34 = 206.26 : x
  2. Step 2: Convert to fraction form
    268.54/370.34 = 206.26/x
  3. Step 3: Cross multiply
    268.54x = 370.34 × 206.26
  4. Step 4: Simplify right side
    268.54x = 76,386.33
  5. Step 5: Solve for x
    x = 76,386.33/268.54
  6. Step 6: Final answer
    x = 284.45

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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.