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Finding the Fourth Proportional to 232.63, 321.02 and 145.35

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Solution

The fourth proportional to 232.63, 321.02 and 145.35 is: 200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.63 : 321.02 = 145.35 : x
  2. Step 2: Convert to fraction form
    232.63/321.02 = 145.35/x
  3. Step 3: Cross multiply
    232.63x = 321.02 × 145.35
  4. Step 4: Simplify right side
    232.63x = 46,660.26
  5. Step 5: Solve for x
    x = 46,660.26/232.63
  6. Step 6: Final answer
    x = 200.58

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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.