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Finding the Fourth Proportional to 431.26, 646.84 and 142.69

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Solution

The fourth proportional to 431.26, 646.84 and 142.69 is: 214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.26 : 646.84 = 142.69 : x
  2. Step 2: Convert to fraction form
    431.26/646.84 = 142.69/x
  3. Step 3: Cross multiply
    431.26x = 646.84 × 142.69
  4. Step 4: Simplify right side
    431.26x = 92,297.60
  5. Step 5: Solve for x
    x = 92,297.60/431.26
  6. Step 6: Final answer
    x = 214.02

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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.