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Finding the Fourth Proportional to 302.52, 454.14 and 180.84

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Solution

The fourth proportional to 302.52, 454.14 and 180.84 is: 271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.52 : 454.14 = 180.84 : x
  2. Step 2: Convert to fraction form
    302.52/454.14 = 180.84/x
  3. Step 3: Cross multiply
    302.52x = 454.14 × 180.84
  4. Step 4: Simplify right side
    302.52x = 82,126.68
  5. Step 5: Solve for x
    x = 82,126.68/302.52
  6. Step 6: Final answer
    x = 271.48

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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.