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Finding the Fourth Proportional to 202.80, 304.02 and 180.02

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Solution

The fourth proportional to 202.80, 304.02 and 180.02 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 304.02 = 180.02 : x
  2. Step 2: Convert to fraction form
    202.80/304.02 = 180.02/x
  3. Step 3: Cross multiply
    202.80x = 304.02 × 180.02
  4. Step 4: Simplify right side
    202.80x = 54,729.68
  5. Step 5: Solve for x
    x = 54,729.68/202.80
  6. Step 6: Final answer
    x = 269.87

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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.