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Finding the Fourth Proportional to 339.89, 468.63 and 229.32

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Solution

The fourth proportional to 339.89, 468.63 and 229.32 is: 316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.89 : 468.63 = 229.32 : x
  2. Step 2: Convert to fraction form
    339.89/468.63 = 229.32/x
  3. Step 3: Cross multiply
    339.89x = 468.63 × 229.32
  4. Step 4: Simplify right side
    339.89x = 107,466.23
  5. Step 5: Solve for x
    x = 107,466.23/339.89
  6. Step 6: Final answer
    x = 316.18

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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.