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Finding the Fourth Proportional to 335.21, 462.58 and 187.84

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Solution

The fourth proportional to 335.21, 462.58 and 187.84 is: 259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.21 : 462.58 = 187.84 : x
  2. Step 2: Convert to fraction form
    335.21/462.58 = 187.84/x
  3. Step 3: Cross multiply
    335.21x = 462.58 × 187.84
  4. Step 4: Simplify right side
    335.21x = 86,891.03
  5. Step 5: Solve for x
    x = 86,891.03/335.21
  6. Step 6: Final answer
    x = 259.21

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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.