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Finding the Fourth Proportional to 201.02, 302.10 and 137.30

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Solution

The fourth proportional to 201.02, 302.10 and 137.30 is: 206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.02 : 302.10 = 137.30 : x
  2. Step 2: Convert to fraction form
    201.02/302.10 = 137.30/x
  3. Step 3: Cross multiply
    201.02x = 302.10 × 137.30
  4. Step 4: Simplify right side
    201.02x = 41,478.33
  5. Step 5: Solve for x
    x = 41,478.33/201.02
  6. Step 6: Final answer
    x = 206.34

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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.