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Finding the Fourth Proportional to 233.14, 321.84 and 180.56

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Solution

The fourth proportional to 233.14, 321.84 and 180.56 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 321.84 = 180.56 : x
  2. Step 2: Convert to fraction form
    233.14/321.84 = 180.56/x
  3. Step 3: Cross multiply
    233.14x = 321.84 × 180.56
  4. Step 4: Simplify right side
    233.14x = 58,111.43
  5. Step 5: Solve for x
    x = 58,111.43/233.14
  6. Step 6: Final answer
    x = 249.26

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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.