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Finding the Fourth Proportional to 240.96, 333.18 and 204.60

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Solution

The fourth proportional to 240.96, 333.18 and 204.60 is: 282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.96 : 333.18 = 204.60 : x
  2. Step 2: Convert to fraction form
    240.96/333.18 = 204.60/x
  3. Step 3: Cross multiply
    240.96x = 333.18 × 204.60
  4. Step 4: Simplify right side
    240.96x = 68,168.63
  5. Step 5: Solve for x
    x = 68,168.63/240.96
  6. Step 6: Final answer
    x = 282.90

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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.