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Finding the Fourth Proportional to 301.89, 453.02 and 109.53

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Solution

The fourth proportional to 301.89, 453.02 and 109.53 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.89 : 453.02 = 109.53 : x
  2. Step 2: Convert to fraction form
    301.89/453.02 = 109.53/x
  3. Step 3: Cross multiply
    301.89x = 453.02 × 109.53
  4. Step 4: Simplify right side
    301.89x = 49,618.73
  5. Step 5: Solve for x
    x = 49,618.73/301.89
  6. Step 6: Final answer
    x = 164.36

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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.