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Finding the Fourth Proportional to 201.80, 302.77 and 80.14

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Solution

The fourth proportional to 201.80, 302.77 and 80.14 is: 120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 302.77 = 80.14 : x
  2. Step 2: Convert to fraction form
    201.80/302.77 = 80.14/x
  3. Step 3: Cross multiply
    201.80x = 302.77 × 80.14
  4. Step 4: Simplify right side
    201.80x = 24,263.99
  5. Step 5: Solve for x
    x = 24,263.99/201.80
  6. Step 6: Final answer
    x = 120.24

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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.