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Finding the Fourth Proportional to 201.80, 302.57 and 92.13

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Solution

The fourth proportional to 201.80, 302.57 and 92.13 is: 138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 302.57 = 92.13 : x
  2. Step 2: Convert to fraction form
    201.80/302.57 = 92.13/x
  3. Step 3: Cross multiply
    201.80x = 302.57 × 92.13
  4. Step 4: Simplify right side
    201.80x = 27,875.54
  5. Step 5: Solve for x
    x = 27,875.54/201.80
  6. Step 6: Final answer
    x = 138.14

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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.