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Finding the Fourth Proportional to 335.37, 462.80 and 187.98

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Solution

The fourth proportional to 335.37, 462.80 and 187.98 is: 259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.37 : 462.80 = 187.98 : x
  2. Step 2: Convert to fraction form
    335.37/462.80 = 187.98/x
  3. Step 3: Cross multiply
    335.37x = 462.80 × 187.98
  4. Step 4: Simplify right side
    335.37x = 86,997.14
  5. Step 5: Solve for x
    x = 86,997.14/335.37
  6. Step 6: Final answer
    x = 259.41

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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.