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Finding the Fourth Proportional to 333.46, 460.14 and 193.60

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Solution

The fourth proportional to 333.46, 460.14 and 193.60 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.46 : 460.14 = 193.60 : x
  2. Step 2: Convert to fraction form
    333.46/460.14 = 193.60/x
  3. Step 3: Cross multiply
    333.46x = 460.14 × 193.60
  4. Step 4: Simplify right side
    333.46x = 89,083.10
  5. Step 5: Solve for x
    x = 89,083.10/333.46
  6. Step 6: Final answer
    x = 267.15

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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.