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Finding the Fourth Proportional to 335.39, 503.07 and 116.16

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Solution

The fourth proportional to 335.39, 503.07 and 116.16 is: 174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.39 : 503.07 = 116.16 : x
  2. Step 2: Convert to fraction form
    335.39/503.07 = 116.16/x
  3. Step 3: Cross multiply
    335.39x = 503.07 × 116.16
  4. Step 4: Simplify right side
    335.39x = 58,436.61
  5. Step 5: Solve for x
    x = 58,436.61/335.39
  6. Step 6: Final answer
    x = 174.23

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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.