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Finding the Fourth Proportional to 337.60, 465.86 and 190.26

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Solution

The fourth proportional to 337.60, 465.86 and 190.26 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.60 : 465.86 = 190.26 : x
  2. Step 2: Convert to fraction form
    337.60/465.86 = 190.26/x
  3. Step 3: Cross multiply
    337.60x = 465.86 × 190.26
  4. Step 4: Simplify right side
    337.60x = 88,634.52
  5. Step 5: Solve for x
    x = 88,634.52/337.60
  6. Step 6: Final answer
    x = 262.54

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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.