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Finding the Fourth Proportional to 350.02, 524.32 and 166.87

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Solution

The fourth proportional to 350.02, 524.32 and 166.87 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.02 : 524.32 = 166.87 : x
  2. Step 2: Convert to fraction form
    350.02/524.32 = 166.87/x
  3. Step 3: Cross multiply
    350.02x = 524.32 × 166.87
  4. Step 4: Simplify right side
    350.02x = 87,493.28
  5. Step 5: Solve for x
    x = 87,493.28/350.02
  6. Step 6: Final answer
    x = 249.97

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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.