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Finding the Fourth Proportional to 301.46, 452.28 and 109.10

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Solution

The fourth proportional to 301.46, 452.28 and 109.10 is: 163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.46 : 452.28 = 109.10 : x
  2. Step 2: Convert to fraction form
    301.46/452.28 = 109.10/x
  3. Step 3: Cross multiply
    301.46x = 452.28 × 109.10
  4. Step 4: Simplify right side
    301.46x = 49,343.75
  5. Step 5: Solve for x
    x = 49,343.75/301.46
  6. Step 6: Final answer
    x = 163.68

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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.