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Finding the Fourth Proportional to 202.63, 303.72 and 140.94

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Solution

The fourth proportional to 202.63, 303.72 and 140.94 is: 211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.63 : 303.72 = 140.94 : x
  2. Step 2: Convert to fraction form
    202.63/303.72 = 140.94/x
  3. Step 3: Cross multiply
    202.63x = 303.72 × 140.94
  4. Step 4: Simplify right side
    202.63x = 42,806.96
  5. Step 5: Solve for x
    x = 42,806.96/202.63
  6. Step 6: Final answer
    x = 211.26

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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.