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Finding the Fourth Proportional to 337.65, 465.98 and 190.28

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Solution

The fourth proportional to 337.65, 465.98 and 190.28 is: 262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.65 : 465.98 = 190.28 : x
  2. Step 2: Convert to fraction form
    337.65/465.98 = 190.28/x
  3. Step 3: Cross multiply
    337.65x = 465.98 × 190.28
  4. Step 4: Simplify right side
    337.65x = 88,663.39
  5. Step 5: Solve for x
    x = 88,663.39/337.65
  6. Step 6: Final answer
    x = 262.59

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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.