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Finding the Fourth Proportional to 232.59, 321 and 145.29

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Solution

The fourth proportional to 232.59, 321 and 145.29 is: 200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.59 : 321 = 145.29 : x
  2. Step 2: Convert to fraction form
    232.59/321 = 145.29/x
  3. Step 3: Cross multiply
    232.59x = 321 × 145.29
  4. Step 4: Simplify right side
    232.59x = 46,638.09
  5. Step 5: Solve for x
    x = 46,638.09/232.59
  6. Step 6: Final answer
    x = 200.52

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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.