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Finding the Fourth Proportional to 333.68, 460.49 and 193.82

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Solution

The fourth proportional to 333.68, 460.49 and 193.82 is: 267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.68 : 460.49 = 193.82 : x
  2. Step 2: Convert to fraction form
    333.68/460.49 = 193.82/x
  3. Step 3: Cross multiply
    333.68x = 460.49 × 193.82
  4. Step 4: Simplify right side
    333.68x = 89,248.90
  5. Step 5: Solve for x
    x = 89,248.90/333.68
  6. Step 6: Final answer
    x = 267.47

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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.