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Finding the Fourth Proportional to 233.24, 321.86 and 135.02

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Solution

The fourth proportional to 233.24, 321.86 and 135.02 is: 186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.24 : 321.86 = 135.02 : x
  2. Step 2: Convert to fraction form
    233.24/321.86 = 135.02/x
  3. Step 3: Cross multiply
    233.24x = 321.86 × 135.02
  4. Step 4: Simplify right side
    233.24x = 43,458.68
  5. Step 5: Solve for x
    x = 43,458.68/233.24
  6. Step 6: Final answer
    x = 186.33

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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.