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Finding the Fourth Proportional to 334.66, 461.85 and 203.68

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Solution

The fourth proportional to 334.66, 461.85 and 203.68 is: 281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.66 : 461.85 = 203.68 : x
  2. Step 2: Convert to fraction form
    334.66/461.85 = 203.68/x
  3. Step 3: Cross multiply
    334.66x = 461.85 × 203.68
  4. Step 4: Simplify right side
    334.66x = 94,069.61
  5. Step 5: Solve for x
    x = 94,069.61/334.66
  6. Step 6: Final answer
    x = 281.09

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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.