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Finding the Fourth Proportional to 337.82, 506.34 and 193.64

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Solution

The fourth proportional to 337.82, 506.34 and 193.64 is: 290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.82 : 506.34 = 193.64 : x
  2. Step 2: Convert to fraction form
    337.82/506.34 = 193.64/x
  3. Step 3: Cross multiply
    337.82x = 506.34 × 193.64
  4. Step 4: Simplify right side
    337.82x = 98,047.68
  5. Step 5: Solve for x
    x = 98,047.68/337.82
  6. Step 6: Final answer
    x = 290.24

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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.