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Finding the Fourth Proportional to 386.42, 579.84 and 142.96

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Solution

The fourth proportional to 386.42, 579.84 and 142.96 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.42 : 579.84 = 142.96 : x
  2. Step 2: Convert to fraction form
    386.42/579.84 = 142.96/x
  3. Step 3: Cross multiply
    386.42x = 579.84 × 142.96
  4. Step 4: Simplify right side
    386.42x = 82,893.93
  5. Step 5: Solve for x
    x = 82,893.93/386.42
  6. Step 6: Final answer
    x = 214.52

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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.