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Finding the Fourth Proportional to 268.38, 370.11 and 180.06

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Solution

The fourth proportional to 268.38, 370.11 and 180.06 is: 248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.38 : 370.11 = 180.06 : x
  2. Step 2: Convert to fraction form
    268.38/370.11 = 180.06/x
  3. Step 3: Cross multiply
    268.38x = 370.11 × 180.06
  4. Step 4: Simplify right side
    268.38x = 66,642.01
  5. Step 5: Solve for x
    x = 66,642.01/268.38
  6. Step 6: Final answer
    x = 248.31

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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.