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Finding the Fourth Proportional to 431.50, 647.19 and 142.94

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Solution

The fourth proportional to 431.50, 647.19 and 142.94 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.50 : 647.19 = 142.94 : x
  2. Step 2: Convert to fraction form
    431.50/647.19 = 142.94/x
  3. Step 3: Cross multiply
    431.50x = 647.19 × 142.94
  4. Step 4: Simplify right side
    431.50x = 92,509.34
  5. Step 5: Solve for x
    x = 92,509.34/431.50
  6. Step 6: Final answer
    x = 214.39

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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.