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Finding the Fourth Proportional to 268.31, 370.58 and 180.83

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Solution

The fourth proportional to 268.31, 370.58 and 180.83 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.31 : 370.58 = 180.83 : x
  2. Step 2: Convert to fraction form
    268.31/370.58 = 180.83/x
  3. Step 3: Cross multiply
    268.31x = 370.58 × 180.83
  4. Step 4: Simplify right side
    268.31x = 67,012.00
  5. Step 5: Solve for x
    x = 67,012.00/268.31
  6. Step 6: Final answer
    x = 249.75

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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.