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Finding the Fourth Proportional to 431.16, 646.89 and 142.59

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Solution

The fourth proportional to 431.16, 646.89 and 142.59 is: 213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 646.89 = 142.59 : x
  2. Step 2: Convert to fraction form
    431.16/646.89 = 142.59/x
  3. Step 3: Cross multiply
    431.16x = 646.89 × 142.59
  4. Step 4: Simplify right side
    431.16x = 92,241.94
  5. Step 5: Solve for x
    x = 92,241.94/431.16
  6. Step 6: Final answer
    x = 213.94

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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.