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Finding the Fourth Proportional to 331.67, 497.51 and 185.34

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Solution

The fourth proportional to 331.67, 497.51 and 185.34 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.67 : 497.51 = 185.34 : x
  2. Step 2: Convert to fraction form
    331.67/497.51 = 185.34/x
  3. Step 3: Cross multiply
    331.67x = 497.51 × 185.34
  4. Step 4: Simplify right side
    331.67x = 92,207.72
  5. Step 5: Solve for x
    x = 92,207.72/331.67
  6. Step 6: Final answer
    x = 278.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.