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Finding the Fourth Proportional to 233.12, 321.54 and 164

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Solution

The fourth proportional to 233.12, 321.54 and 164 is: 226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 321.54 = 164 : x
  2. Step 2: Convert to fraction form
    233.12/321.54 = 164/x
  3. Step 3: Cross multiply
    233.12x = 321.54 × 164
  4. Step 4: Simplify right side
    233.12x = 52,732.56
  5. Step 5: Solve for x
    x = 52,732.56/233.12
  6. Step 6: Final answer
    x = 226.20

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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.