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Finding the Fourth Proportional to 337.25, 465.42 and 189.89

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Solution

The fourth proportional to 337.25, 465.42 and 189.89 is: 262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 465.42 = 189.89 : x
  2. Step 2: Convert to fraction form
    337.25/465.42 = 189.89/x
  3. Step 3: Cross multiply
    337.25x = 465.42 × 189.89
  4. Step 4: Simplify right side
    337.25x = 88,378.60
  5. Step 5: Solve for x
    x = 88,378.60/337.25
  6. Step 6: Final answer
    x = 262.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.