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Finding the Fourth Proportional to 301.54, 452.29 and 139.23

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Solution

The fourth proportional to 301.54, 452.29 and 139.23 is: 208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.54 : 452.29 = 139.23 : x
  2. Step 2: Convert to fraction form
    301.54/452.29 = 139.23/x
  3. Step 3: Cross multiply
    301.54x = 452.29 × 139.23
  4. Step 4: Simplify right side
    301.54x = 62,971.21
  5. Step 5: Solve for x
    x = 62,971.21/301.54
  6. Step 6: Final answer
    x = 208.83

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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.