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Finding the Fourth Proportional to 201.08, 301.68 and 114.53

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Solution

The fourth proportional to 201.08, 301.68 and 114.53 is: 171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.08 : 301.68 = 114.53 : x
  2. Step 2: Convert to fraction form
    201.08/301.68 = 114.53/x
  3. Step 3: Cross multiply
    201.08x = 301.68 × 114.53
  4. Step 4: Simplify right side
    201.08x = 34,549.90
  5. Step 5: Solve for x
    x = 34,549.90/201.08
  6. Step 6: Final answer
    x = 171.83

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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.