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Finding the Fourth Proportional to 202.34, 302.67 and 161.84

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Solution

The fourth proportional to 202.34, 302.67 and 161.84 is: 242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 302.67 = 161.84 : x
  2. Step 2: Convert to fraction form
    202.34/302.67 = 161.84/x
  3. Step 3: Cross multiply
    202.34x = 302.67 × 161.84
  4. Step 4: Simplify right side
    202.34x = 48,984.11
  5. Step 5: Solve for x
    x = 48,984.11/202.34
  6. Step 6: Final answer
    x = 242.09

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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.