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Finding the Fourth Proportional to 243.80, 336.08 and 234.23

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Solution

The fourth proportional to 243.80, 336.08 and 234.23 is: 322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.80 : 336.08 = 234.23 : x
  2. Step 2: Convert to fraction form
    243.80/336.08 = 234.23/x
  3. Step 3: Cross multiply
    243.80x = 336.08 × 234.23
  4. Step 4: Simplify right side
    243.80x = 78,720.02
  5. Step 5: Solve for x
    x = 78,720.02/243.80
  6. Step 6: Final answer
    x = 322.89

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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.