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Finding the Fourth Proportional to 331.84, 497.79 and 112.62

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Solution

The fourth proportional to 331.84, 497.79 and 112.62 is: 168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.84 : 497.79 = 112.62 : x
  2. Step 2: Convert to fraction form
    331.84/497.79 = 112.62/x
  3. Step 3: Cross multiply
    331.84x = 497.79 × 112.62
  4. Step 4: Simplify right side
    331.84x = 56,061.11
  5. Step 5: Solve for x
    x = 56,061.11/331.84
  6. Step 6: Final answer
    x = 168.94

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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.