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Finding the Fourth Proportional to 335.24, 462.64 and 187.88

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Solution

The fourth proportional to 335.24, 462.64 and 187.88 is: 259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.24 : 462.64 = 187.88 : x
  2. Step 2: Convert to fraction form
    335.24/462.64 = 187.88/x
  3. Step 3: Cross multiply
    335.24x = 462.64 × 187.88
  4. Step 4: Simplify right side
    335.24x = 86,920.80
  5. Step 5: Solve for x
    x = 86,920.80/335.24
  6. Step 6: Final answer
    x = 259.28

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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.