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Finding the Fourth Proportional to 337.51, 465.67 and 190.13

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Solution

The fourth proportional to 337.51, 465.67 and 190.13 is: 262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.51 : 465.67 = 190.13 : x
  2. Step 2: Convert to fraction form
    337.51/465.67 = 190.13/x
  3. Step 3: Cross multiply
    337.51x = 465.67 × 190.13
  4. Step 4: Simplify right side
    337.51x = 88,537.84
  5. Step 5: Solve for x
    x = 88,537.84/337.51
  6. Step 6: Final answer
    x = 262.33

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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.