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Finding the Fourth Proportional to 202.35, 303.83 and 161.65

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Solution

The fourth proportional to 202.35, 303.83 and 161.65 is: 242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.35 : 303.83 = 161.65 : x
  2. Step 2: Convert to fraction form
    202.35/303.83 = 161.65/x
  3. Step 3: Cross multiply
    202.35x = 303.83 × 161.65
  4. Step 4: Simplify right side
    202.35x = 49,114.12
  5. Step 5: Solve for x
    x = 49,114.12/202.35
  6. Step 6: Final answer
    x = 242.72

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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.