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Finding the Fourth Proportional to 202.26, 303.15 and 178.26

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Solution

The fourth proportional to 202.26, 303.15 and 178.26 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.26 : 303.15 = 178.26 : x
  2. Step 2: Convert to fraction form
    202.26/303.15 = 178.26/x
  3. Step 3: Cross multiply
    202.26x = 303.15 × 178.26
  4. Step 4: Simplify right side
    202.26x = 54,039.52
  5. Step 5: Solve for x
    x = 54,039.52/202.26
  6. Step 6: Final answer
    x = 267.18

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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.