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Finding the Fourth Proportional to 301.53, 452.26 and 85.13

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Solution

The fourth proportional to 301.53, 452.26 and 85.13 is: 127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.53 : 452.26 = 85.13 : x
  2. Step 2: Convert to fraction form
    301.53/452.26 = 85.13/x
  3. Step 3: Cross multiply
    301.53x = 452.26 × 85.13
  4. Step 4: Simplify right side
    301.53x = 38,500.89
  5. Step 5: Solve for x
    x = 38,500.89/301.53
  6. Step 6: Final answer
    x = 127.69

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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.