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Finding the Fourth Proportional to 302.39, 453.31 and 180.49

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Solution

The fourth proportional to 302.39, 453.31 and 180.49 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.39 : 453.31 = 180.49 : x
  2. Step 2: Convert to fraction form
    302.39/453.31 = 180.49/x
  3. Step 3: Cross multiply
    302.39x = 453.31 × 180.49
  4. Step 4: Simplify right side
    302.39x = 81,817.92
  5. Step 5: Solve for x
    x = 81,817.92/302.39
  6. Step 6: Final answer
    x = 270.57

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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.