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Finding the Fourth Proportional to 335.50, 463 and 197.50

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Solution

The fourth proportional to 335.50, 463 and 197.50 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.50 : 463 = 197.50 : x
  2. Step 2: Convert to fraction form
    335.50/463 = 197.50/x
  3. Step 3: Cross multiply
    335.50x = 463 × 197.50
  4. Step 4: Simplify right side
    335.50x = 91,442.50
  5. Step 5: Solve for x
    x = 91,442.50/335.50
  6. Step 6: Final answer
    x = 272.56

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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.