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Finding the Fourth Proportional to 302.08, 454.49 and 180.43

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Solution

The fourth proportional to 302.08, 454.49 and 180.43 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.08 : 454.49 = 180.43 : x
  2. Step 2: Convert to fraction form
    302.08/454.49 = 180.43/x
  3. Step 3: Cross multiply
    302.08x = 454.49 × 180.43
  4. Step 4: Simplify right side
    302.08x = 82,003.63
  5. Step 5: Solve for x
    x = 82,003.63/302.08
  6. Step 6: Final answer
    x = 271.46

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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.