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Finding the Fourth Proportional to 233.05, 350.34 and 165.06

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Solution

The fourth proportional to 233.05, 350.34 and 165.06 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.05 : 350.34 = 165.06 : x
  2. Step 2: Convert to fraction form
    233.05/350.34 = 165.06/x
  3. Step 3: Cross multiply
    233.05x = 350.34 × 165.06
  4. Step 4: Simplify right side
    233.05x = 57,825.37
  5. Step 5: Solve for x
    x = 57,825.37/233.05
  6. Step 6: Final answer
    x = 248.13

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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.