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Finding the Fourth Proportional to 337.46, 506.22 and 193.04

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Solution

The fourth proportional to 337.46, 506.22 and 193.04 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.46 : 506.22 = 193.04 : x
  2. Step 2: Convert to fraction form
    337.46/506.22 = 193.04/x
  3. Step 3: Cross multiply
    337.46x = 506.22 × 193.04
  4. Step 4: Simplify right side
    337.46x = 97,720.71
  5. Step 5: Solve for x
    x = 97,720.71/337.46
  6. Step 6: Final answer
    x = 289.58

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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.