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Finding the Fourth Proportional to 335.48, 463.01 and 195.62

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Solution

The fourth proportional to 335.48, 463.01 and 195.62 is: 269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.48 : 463.01 = 195.62 : x
  2. Step 2: Convert to fraction form
    335.48/463.01 = 195.62/x
  3. Step 3: Cross multiply
    335.48x = 463.01 × 195.62
  4. Step 4: Simplify right side
    335.48x = 90,570.72
  5. Step 5: Solve for x
    x = 90,570.72/335.48
  6. Step 6: Final answer
    x = 269.98

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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.