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Finding the Fourth Proportional to 202.14, 302.92 and 180.44

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Solution

The fourth proportional to 202.14, 302.92 and 180.44 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.14 : 302.92 = 180.44 : x
  2. Step 2: Convert to fraction form
    202.14/302.92 = 180.44/x
  3. Step 3: Cross multiply
    202.14x = 302.92 × 180.44
  4. Step 4: Simplify right side
    202.14x = 54,658.88
  5. Step 5: Solve for x
    x = 54,658.88/202.14
  6. Step 6: Final answer
    x = 270.40

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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.