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Finding the Fourth Proportional to 301.13, 452.03 and 138.80

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Solution

The fourth proportional to 301.13, 452.03 and 138.80 is: 208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.13 : 452.03 = 138.80 : x
  2. Step 2: Convert to fraction form
    301.13/452.03 = 138.80/x
  3. Step 3: Cross multiply
    301.13x = 452.03 × 138.80
  4. Step 4: Simplify right side
    301.13x = 62,742.20
  5. Step 5: Solve for x
    x = 62,742.20/301.13
  6. Step 6: Final answer
    x = 208.36

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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.