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Finding the Fourth Proportional to 201.17, 301.30 and 140.35

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Solution

The fourth proportional to 201.17, 301.30 and 140.35 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.17 : 301.30 = 140.35 : x
  2. Step 2: Convert to fraction form
    201.17/301.30 = 140.35/x
  3. Step 3: Cross multiply
    201.17x = 301.30 × 140.35
  4. Step 4: Simplify right side
    201.17x = 42,287.46
  5. Step 5: Solve for x
    x = 42,287.46/201.17
  6. Step 6: Final answer
    x = 210.21

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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.