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Finding the Fourth Proportional to 268.25, 370.26 and 180.90

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Solution

The fourth proportional to 268.25, 370.26 and 180.90 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.25 : 370.26 = 180.90 : x
  2. Step 2: Convert to fraction form
    268.25/370.26 = 180.90/x
  3. Step 3: Cross multiply
    268.25x = 370.26 × 180.90
  4. Step 4: Simplify right side
    268.25x = 66,980.03
  5. Step 5: Solve for x
    x = 66,980.03/268.25
  6. Step 6: Final answer
    x = 249.70

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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.