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Finding the Fourth Proportional to 201.84, 302.78 and 80.13

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Solution

The fourth proportional to 201.84, 302.78 and 80.13 is: 120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 302.78 = 80.13 : x
  2. Step 2: Convert to fraction form
    201.84/302.78 = 80.13/x
  3. Step 3: Cross multiply
    201.84x = 302.78 × 80.13
  4. Step 4: Simplify right side
    201.84x = 24,261.76
  5. Step 5: Solve for x
    x = 24,261.76/201.84
  6. Step 6: Final answer
    x = 120.20

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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.