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Finding the Fourth Proportional to 334.95, 462.25 and 218.51

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Solution

The fourth proportional to 334.95, 462.25 and 218.51 is: 301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.95 : 462.25 = 218.51 : x
  2. Step 2: Convert to fraction form
    334.95/462.25 = 218.51/x
  3. Step 3: Cross multiply
    334.95x = 462.25 × 218.51
  4. Step 4: Simplify right side
    334.95x = 101,006.25
  5. Step 5: Solve for x
    x = 101,006.25/334.95
  6. Step 6: Final answer
    x = 301.56

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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.