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Finding the Fourth Proportional to 382.42, 573.29 and 138.77

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Solution

The fourth proportional to 382.42, 573.29 and 138.77 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 573.29 = 138.77 : x
  2. Step 2: Convert to fraction form
    382.42/573.29 = 138.77/x
  3. Step 3: Cross multiply
    382.42x = 573.29 × 138.77
  4. Step 4: Simplify right side
    382.42x = 79,557.27
  5. Step 5: Solve for x
    x = 79,557.27/382.42
  6. Step 6: Final answer
    x = 208.04

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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.