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Finding the Fourth Proportional to 202, 302.76 and 110.65

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Solution

The fourth proportional to 202, 302.76 and 110.65 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 302.76 = 110.65 : x
  2. Step 2: Convert to fraction form
    202/302.76 = 110.65/x
  3. Step 3: Cross multiply
    202x = 302.76 × 110.65
  4. Step 4: Simplify right side
    202x = 33,500.39
  5. Step 5: Solve for x
    x = 33,500.39/202
  6. Step 6: Final answer
    x = 165.84

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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.