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Finding the Fourth Proportional to 333.56, 460.32 and 195.56

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Solution

The fourth proportional to 333.56, 460.32 and 195.56 is: 269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.56 : 460.32 = 195.56 : x
  2. Step 2: Convert to fraction form
    333.56/460.32 = 195.56/x
  3. Step 3: Cross multiply
    333.56x = 460.32 × 195.56
  4. Step 4: Simplify right side
    333.56x = 90,020.18
  5. Step 5: Solve for x
    x = 90,020.18/333.56
  6. Step 6: Final answer
    x = 269.88

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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.