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Finding the Fourth Proportional to 301.31, 452.17 and 139.01

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Solution

The fourth proportional to 301.31, 452.17 and 139.01 is: 208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.31 : 452.17 = 139.01 : x
  2. Step 2: Convert to fraction form
    301.31/452.17 = 139.01/x
  3. Step 3: Cross multiply
    301.31x = 452.17 × 139.01
  4. Step 4: Simplify right side
    301.31x = 62,853.54
  5. Step 5: Solve for x
    x = 62,853.54/301.31
  6. Step 6: Final answer
    x = 208.60

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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.