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Finding the Fourth Proportional to 337.64, 506.61 and 193.37

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Solution

The fourth proportional to 337.64, 506.61 and 193.37 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 506.61 = 193.37 : x
  2. Step 2: Convert to fraction form
    337.64/506.61 = 193.37/x
  3. Step 3: Cross multiply
    337.64x = 506.61 × 193.37
  4. Step 4: Simplify right side
    337.64x = 97,960.64
  5. Step 5: Solve for x
    x = 97,960.64/337.64
  6. Step 6: Final answer
    x = 290.14

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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.