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Finding the Fourth Proportional to 233.99, 350.06 and 164.73

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Solution

The fourth proportional to 233.99, 350.06 and 164.73 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.99 : 350.06 = 164.73 : x
  2. Step 2: Convert to fraction form
    233.99/350.06 = 164.73/x
  3. Step 3: Cross multiply
    233.99x = 350.06 × 164.73
  4. Step 4: Simplify right side
    233.99x = 57,665.38
  5. Step 5: Solve for x
    x = 57,665.38/233.99
  6. Step 6: Final answer
    x = 246.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.