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Finding the Fourth Proportional to 233.33, 321.86 and 135.07

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Solution

The fourth proportional to 233.33, 321.86 and 135.07 is: 186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.33 : 321.86 = 135.07 : x
  2. Step 2: Convert to fraction form
    233.33/321.86 = 135.07/x
  3. Step 3: Cross multiply
    233.33x = 321.86 × 135.07
  4. Step 4: Simplify right side
    233.33x = 43,472.40
  5. Step 5: Solve for x
    x = 43,472.40/233.33
  6. Step 6: Final answer
    x = 186.32

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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.