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Finding the Fourth Proportional to 233.09, 321.74 and 145.84

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Solution

The fourth proportional to 233.09, 321.74 and 145.84 is: 201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 321.74 = 145.84 : x
  2. Step 2: Convert to fraction form
    233.09/321.74 = 145.84/x
  3. Step 3: Cross multiply
    233.09x = 321.74 × 145.84
  4. Step 4: Simplify right side
    233.09x = 46,921.57
  5. Step 5: Solve for x
    x = 46,921.57/233.09
  6. Step 6: Final answer
    x = 201.30

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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.