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Finding the Fourth Proportional to 202.38, 303.67 and 187.35

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Solution

The fourth proportional to 202.38, 303.67 and 187.35 is: 281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.38 : 303.67 = 187.35 : x
  2. Step 2: Convert to fraction form
    202.38/303.67 = 187.35/x
  3. Step 3: Cross multiply
    202.38x = 303.67 × 187.35
  4. Step 4: Simplify right side
    202.38x = 56,892.57
  5. Step 5: Solve for x
    x = 56,892.57/202.38
  6. Step 6: Final answer
    x = 281.12

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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.