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Finding the Fourth Proportional to 335.98, 503.85 and 116.56

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Solution

The fourth proportional to 335.98, 503.85 and 116.56 is: 174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.98 : 503.85 = 116.56 : x
  2. Step 2: Convert to fraction form
    335.98/503.85 = 116.56/x
  3. Step 3: Cross multiply
    335.98x = 503.85 × 116.56
  4. Step 4: Simplify right side
    335.98x = 58,726.24
  5. Step 5: Solve for x
    x = 58,726.24/335.98
  6. Step 6: Final answer
    x = 174.79

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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.