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Finding the Fourth Proportional to 254.48, 352.51 and 233.96

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Solution

The fourth proportional to 254.48, 352.51 and 233.96 is: 324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.48 : 352.51 = 233.96 : x
  2. Step 2: Convert to fraction form
    254.48/352.51 = 233.96/x
  3. Step 3: Cross multiply
    254.48x = 352.51 × 233.96
  4. Step 4: Simplify right side
    254.48x = 82,472.07
  5. Step 5: Solve for x
    x = 82,472.07/254.48
  6. Step 6: Final answer
    x = 324.08

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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.