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Finding the Fourth Proportional to 333.89, 460.74 and 193.98

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Solution

The fourth proportional to 333.89, 460.74 and 193.98 is: 267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.89 : 460.74 = 193.98 : x
  2. Step 2: Convert to fraction form
    333.89/460.74 = 193.98/x
  3. Step 3: Cross multiply
    333.89x = 460.74 × 193.98
  4. Step 4: Simplify right side
    333.89x = 89,374.35
  5. Step 5: Solve for x
    x = 89,374.35/333.89
  6. Step 6: Final answer
    x = 267.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.