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Finding the Fourth Proportional to 201.54, 302.13 and 105.42

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Solution

The fourth proportional to 201.54, 302.13 and 105.42 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.54 : 302.13 = 105.42 : x
  2. Step 2: Convert to fraction form
    201.54/302.13 = 105.42/x
  3. Step 3: Cross multiply
    201.54x = 302.13 × 105.42
  4. Step 4: Simplify right side
    201.54x = 31,850.54
  5. Step 5: Solve for x
    x = 31,850.54/201.54
  6. Step 6: Final answer
    x = 158.04

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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.