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Finding the Fourth Proportional to 233.67, 352.25 and 230.43

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Solution

The fourth proportional to 233.67, 352.25 and 230.43 is: 347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.67 : 352.25 = 230.43 : x
  2. Step 2: Convert to fraction form
    233.67/352.25 = 230.43/x
  3. Step 3: Cross multiply
    233.67x = 352.25 × 230.43
  4. Step 4: Simplify right side
    233.67x = 81,167.82
  5. Step 5: Solve for x
    x = 81,167.82/233.67
  6. Step 6: Final answer
    x = 347.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.