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Finding the Fourth Proportional to 243.42, 336.23 and 184.34

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Solution

The fourth proportional to 243.42, 336.23 and 184.34 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.42 : 336.23 = 184.34 : x
  2. Step 2: Convert to fraction form
    243.42/336.23 = 184.34/x
  3. Step 3: Cross multiply
    243.42x = 336.23 × 184.34
  4. Step 4: Simplify right side
    243.42x = 61,978.04
  5. Step 5: Solve for x
    x = 61,978.04/243.42
  6. Step 6: Final answer
    x = 254.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.