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Finding the Fourth Proportional to 334.98, 462.25 and 185.59

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Solution

The fourth proportional to 334.98, 462.25 and 185.59 is: 256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.98 : 462.25 = 185.59 : x
  2. Step 2: Convert to fraction form
    334.98/462.25 = 185.59/x
  3. Step 3: Cross multiply
    334.98x = 462.25 × 185.59
  4. Step 4: Simplify right side
    334.98x = 85,788.05
  5. Step 5: Solve for x
    x = 85,788.05/334.98
  6. Step 6: Final answer
    x = 256.10

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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.