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Finding the Fourth Proportional to 431.34, 647.10 and 142.80

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Solution

The fourth proportional to 431.34, 647.10 and 142.80 is: 214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 647.10 = 142.80 : x
  2. Step 2: Convert to fraction form
    431.34/647.10 = 142.80/x
  3. Step 3: Cross multiply
    431.34x = 647.10 × 142.80
  4. Step 4: Simplify right side
    431.34x = 92,401.93
  5. Step 5: Solve for x
    x = 92,401.93/431.34
  6. Step 6: Final answer
    x = 214.22

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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.