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Finding the Fourth Proportional to 331.84, 497.96 and 149.24

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Solution

The fourth proportional to 331.84, 497.96 and 149.24 is: 223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.84 : 497.96 = 149.24 : x
  2. Step 2: Convert to fraction form
    331.84/497.96 = 149.24/x
  3. Step 3: Cross multiply
    331.84x = 497.96 × 149.24
  4. Step 4: Simplify right side
    331.84x = 74,313.43
  5. Step 5: Solve for x
    x = 74,313.43/331.84
  6. Step 6: Final answer
    x = 223.95

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Why These Related Problems?

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