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Finding the Fourth Proportional to 337.20, 506.16 and 174.84

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Solution

The fourth proportional to 337.20, 506.16 and 174.84 is: 262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.20 : 506.16 = 174.84 : x
  2. Step 2: Convert to fraction form
    337.20/506.16 = 174.84/x
  3. Step 3: Cross multiply
    337.20x = 506.16 × 174.84
  4. Step 4: Simplify right side
    337.20x = 88,497.01
  5. Step 5: Solve for x
    x = 88,497.01/337.20
  6. Step 6: Final answer
    x = 262.45

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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.