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Finding the Fourth Proportional to 233.02, 321.42 and 167.41

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Solution

The fourth proportional to 233.02, 321.42 and 167.41 is: 230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 321.42 = 167.41 : x
  2. Step 2: Convert to fraction form
    233.02/321.42 = 167.41/x
  3. Step 3: Cross multiply
    233.02x = 321.42 × 167.41
  4. Step 4: Simplify right side
    233.02x = 53,808.92
  5. Step 5: Solve for x
    x = 53,808.92/233.02
  6. Step 6: Final answer
    x = 230.92

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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.