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Finding the Fourth Proportional to 339.36, 468.15 and 234.55

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Solution

The fourth proportional to 339.36, 468.15 and 234.55 is: 323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.36 : 468.15 = 234.55 : x
  2. Step 2: Convert to fraction form
    339.36/468.15 = 234.55/x
  3. Step 3: Cross multiply
    339.36x = 468.15 × 234.55
  4. Step 4: Simplify right side
    339.36x = 109,803.41
  5. Step 5: Solve for x
    x = 109,803.41/339.36
  6. Step 6: Final answer
    x = 323.56

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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.