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Finding the Fourth Proportional to 202.80, 303.96 and 178.36

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Solution

The fourth proportional to 202.80, 303.96 and 178.36 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 303.96 = 178.36 : x
  2. Step 2: Convert to fraction form
    202.80/303.96 = 178.36/x
  3. Step 3: Cross multiply
    202.80x = 303.96 × 178.36
  4. Step 4: Simplify right side
    202.80x = 54,214.31
  5. Step 5: Solve for x
    x = 54,214.31/202.80
  6. Step 6: Final answer
    x = 267.33

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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.