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Finding the Fourth Proportional to 233.48, 323.52 and 230.54

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Solution

The fourth proportional to 233.48, 323.52 and 230.54 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.48 : 323.52 = 230.54 : x
  2. Step 2: Convert to fraction form
    233.48/323.52 = 230.54/x
  3. Step 3: Cross multiply
    233.48x = 323.52 × 230.54
  4. Step 4: Simplify right side
    233.48x = 74,582.68
  5. Step 5: Solve for x
    x = 74,582.68/233.48
  6. Step 6: Final answer
    x = 319.45

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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.