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Finding the Fourth Proportional to 233.88, 324.27 and 232.86

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Solution

The fourth proportional to 233.88, 324.27 and 232.86 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 324.27 = 232.86 : x
  2. Step 2: Convert to fraction form
    233.88/324.27 = 232.86/x
  3. Step 3: Cross multiply
    233.88x = 324.27 × 232.86
  4. Step 4: Simplify right side
    233.88x = 75,509.51
  5. Step 5: Solve for x
    x = 75,509.51/233.88
  6. Step 6: Final answer
    x = 322.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.