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Finding the Fourth Proportional to 301.22, 452.08 and 136.74

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Solution

The fourth proportional to 301.22, 452.08 and 136.74 is: 205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.22 : 452.08 = 136.74 : x
  2. Step 2: Convert to fraction form
    301.22/452.08 = 136.74/x
  3. Step 3: Cross multiply
    301.22x = 452.08 × 136.74
  4. Step 4: Simplify right side
    301.22x = 61,816.74
  5. Step 5: Solve for x
    x = 61,816.74/301.22
  6. Step 6: Final answer
    x = 205.22

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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.