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Finding the Fourth Proportional to 335.24, 462.63 and 187.87

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Solution

The fourth proportional to 335.24, 462.63 and 187.87 is: 259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.24 : 462.63 = 187.87 : x
  2. Step 2: Convert to fraction form
    335.24/462.63 = 187.87/x
  3. Step 3: Cross multiply
    335.24x = 462.63 × 187.87
  4. Step 4: Simplify right side
    335.24x = 86,911.98
  5. Step 5: Solve for x
    x = 86,911.98/335.24
  6. Step 6: Final answer
    x = 259.26

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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.