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Finding the Fourth Proportional to 350.42, 524.82 and 167.94

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Solution

The fourth proportional to 350.42, 524.82 and 167.94 is: 251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.42 : 524.82 = 167.94 : x
  2. Step 2: Convert to fraction form
    350.42/524.82 = 167.94/x
  3. Step 3: Cross multiply
    350.42x = 524.82 × 167.94
  4. Step 4: Simplify right side
    350.42x = 88,136.30
  5. Step 5: Solve for x
    x = 88,136.30/350.42
  6. Step 6: Final answer
    x = 251.52

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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.