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Finding the Fourth Proportional to 431.42, 646.97 and 138.83

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Solution

The fourth proportional to 431.42, 646.97 and 138.83 is: 208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 646.97 = 138.83 : x
  2. Step 2: Convert to fraction form
    431.42/646.97 = 138.83/x
  3. Step 3: Cross multiply
    431.42x = 646.97 × 138.83
  4. Step 4: Simplify right side
    431.42x = 89,814.92
  5. Step 5: Solve for x
    x = 89,814.92/431.42
  6. Step 6: Final answer
    x = 208.19

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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.