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Finding the Fourth Proportional to 200.53, 300.77 and 77.12

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Solution

The fourth proportional to 200.53, 300.77 and 77.12 is: 115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.53 : 300.77 = 77.12 : x
  2. Step 2: Convert to fraction form
    200.53/300.77 = 77.12/x
  3. Step 3: Cross multiply
    200.53x = 300.77 × 77.12
  4. Step 4: Simplify right side
    200.53x = 23,195.38
  5. Step 5: Solve for x
    x = 23,195.38/200.53
  6. Step 6: Final answer
    x = 115.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.