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Finding the Fourth Proportional to 233.26, 321.95 and 135.07

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Solution

The fourth proportional to 233.26, 321.95 and 135.07 is: 186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 321.95 = 135.07 : x
  2. Step 2: Convert to fraction form
    233.26/321.95 = 135.07/x
  3. Step 3: Cross multiply
    233.26x = 321.95 × 135.07
  4. Step 4: Simplify right side
    233.26x = 43,485.79
  5. Step 5: Solve for x
    x = 43,485.79/233.26
  6. Step 6: Final answer
    x = 186.43

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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.