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Finding the Fourth Proportional to 431.26, 646.88 and 127.26

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Solution

The fourth proportional to 431.26, 646.88 and 127.26 is: 190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.26 : 646.88 = 127.26 : x
  2. Step 2: Convert to fraction form
    431.26/646.88 = 127.26/x
  3. Step 3: Cross multiply
    431.26x = 646.88 × 127.26
  4. Step 4: Simplify right side
    431.26x = 82,321.95
  5. Step 5: Solve for x
    x = 82,321.95/431.26
  6. Step 6: Final answer
    x = 190.89

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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.