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Finding the Fourth Proportional to 268.58, 370.83 and 180.14

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Solution

The fourth proportional to 268.58, 370.83 and 180.14 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.58 : 370.83 = 180.14 : x
  2. Step 2: Convert to fraction form
    268.58/370.83 = 180.14/x
  3. Step 3: Cross multiply
    268.58x = 370.83 × 180.14
  4. Step 4: Simplify right side
    268.58x = 66,799.46
  5. Step 5: Solve for x
    x = 66,799.46/268.58
  6. Step 6: Final answer
    x = 248.72

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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.