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Finding the Fourth Proportional to 335.61, 503.44 and 116.22

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Solution

The fourth proportional to 335.61, 503.44 and 116.22 is: 174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.61 : 503.44 = 116.22 : x
  2. Step 2: Convert to fraction form
    335.61/503.44 = 116.22/x
  3. Step 3: Cross multiply
    335.61x = 503.44 × 116.22
  4. Step 4: Simplify right side
    335.61x = 58,511.39
  5. Step 5: Solve for x
    x = 58,511.39/335.61
  6. Step 6: Final answer
    x = 174.34

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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.