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Finding the Fourth Proportional to 302.42, 453.81 and 119.81

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Solution

The fourth proportional to 302.42, 453.81 and 119.81 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.42 : 453.81 = 119.81 : x
  2. Step 2: Convert to fraction form
    302.42/453.81 = 119.81/x
  3. Step 3: Cross multiply
    302.42x = 453.81 × 119.81
  4. Step 4: Simplify right side
    302.42x = 54,369.33
  5. Step 5: Solve for x
    x = 54,369.33/302.42
  6. Step 6: Final answer
    x = 179.78

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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.