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Finding the Fourth Proportional to 331.46, 497.30 and 148.82

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Solution

The fourth proportional to 331.46, 497.30 and 148.82 is: 223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.46 : 497.30 = 148.82 : x
  2. Step 2: Convert to fraction form
    331.46/497.30 = 148.82/x
  3. Step 3: Cross multiply
    331.46x = 497.30 × 148.82
  4. Step 4: Simplify right side
    331.46x = 74,004.96
  5. Step 5: Solve for x
    x = 74,004.96/331.46
  6. Step 6: Final answer
    x = 223.27

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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.