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Finding the Fourth Proportional to 202.44, 303.76 and 106.26

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Solution

The fourth proportional to 202.44, 303.76 and 106.26 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.44 : 303.76 = 106.26 : x
  2. Step 2: Convert to fraction form
    202.44/303.76 = 106.26/x
  3. Step 3: Cross multiply
    202.44x = 303.76 × 106.26
  4. Step 4: Simplify right side
    202.44x = 32,277.54
  5. Step 5: Solve for x
    x = 32,277.54/202.44
  6. Step 6: Final answer
    x = 159.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.