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Finding the Fourth Proportional to 301.42, 452.17 and 139.09

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Solution

The fourth proportional to 301.42, 452.17 and 139.09 is: 208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.42 : 452.17 = 139.09 : x
  2. Step 2: Convert to fraction form
    301.42/452.17 = 139.09/x
  3. Step 3: Cross multiply
    301.42x = 452.17 × 139.09
  4. Step 4: Simplify right side
    301.42x = 62,890.06
  5. Step 5: Solve for x
    x = 62,890.06/301.42
  6. Step 6: Final answer
    x = 208.65

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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.