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Finding the Fourth Proportional to 336.75, 505.38 and 174.42

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Solution

The fourth proportional to 336.75, 505.38 and 174.42 is: 261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.75 : 505.38 = 174.42 : x
  2. Step 2: Convert to fraction form
    336.75/505.38 = 174.42/x
  3. Step 3: Cross multiply
    336.75x = 505.38 × 174.42
  4. Step 4: Simplify right side
    336.75x = 88,148.38
  5. Step 5: Solve for x
    x = 88,148.38/336.75
  6. Step 6: Final answer
    x = 261.76

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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.