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Finding the Fourth Proportional to 233.24, 321.76 and 145.96

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Solution

The fourth proportional to 233.24, 321.76 and 145.96 is: 201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.24 : 321.76 = 145.96 : x
  2. Step 2: Convert to fraction form
    233.24/321.76 = 145.96/x
  3. Step 3: Cross multiply
    233.24x = 321.76 × 145.96
  4. Step 4: Simplify right side
    233.24x = 46,964.09
  5. Step 5: Solve for x
    x = 46,964.09/233.24
  6. Step 6: Final answer
    x = 201.36

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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.