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Finding the Fourth Proportional to 243.96, 336.54 and 192.12

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Solution

The fourth proportional to 243.96, 336.54 and 192.12 is: 265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.96 : 336.54 = 192.12 : x
  2. Step 2: Convert to fraction form
    243.96/336.54 = 192.12/x
  3. Step 3: Cross multiply
    243.96x = 336.54 × 192.12
  4. Step 4: Simplify right side
    243.96x = 64,656.06
  5. Step 5: Solve for x
    x = 64,656.06/243.96
  6. Step 6: Final answer
    x = 265.03

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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.