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Finding the Fourth Proportional to 331.77, 497.49 and 100.61

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Solution

The fourth proportional to 331.77, 497.49 and 100.61 is: 150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.77 : 497.49 = 100.61 : x
  2. Step 2: Convert to fraction form
    331.77/497.49 = 100.61/x
  3. Step 3: Cross multiply
    331.77x = 497.49 × 100.61
  4. Step 4: Simplify right side
    331.77x = 50,052.32
  5. Step 5: Solve for x
    x = 50,052.32/331.77
  6. Step 6: Final answer
    x = 150.86

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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.