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Finding the Fourth Proportional to 431.44, 647.26 and 142.90

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Solution

The fourth proportional to 431.44, 647.26 and 142.90 is: 214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 647.26 = 142.90 : x
  2. Step 2: Convert to fraction form
    431.44/647.26 = 142.90/x
  3. Step 3: Cross multiply
    431.44x = 647.26 × 142.90
  4. Step 4: Simplify right side
    431.44x = 92,493.45
  5. Step 5: Solve for x
    x = 92,493.45/431.44
  6. Step 6: Final answer
    x = 214.38

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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.