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Finding the Fourth Proportional to 268.23, 370.30 and 164.79

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Solution

The fourth proportional to 268.23, 370.30 and 164.79 is: 227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.23 : 370.30 = 164.79 : x
  2. Step 2: Convert to fraction form
    268.23/370.30 = 164.79/x
  3. Step 3: Cross multiply
    268.23x = 370.30 × 164.79
  4. Step 4: Simplify right side
    268.23x = 61,020.91
  5. Step 5: Solve for x
    x = 61,020.91/268.23
  6. Step 6: Final answer
    x = 227.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.