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Finding the Fourth Proportional to 201.47, 302.15 and 97.25

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Solution

The fourth proportional to 201.47, 302.15 and 97.25 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.47 : 302.15 = 97.25 : x
  2. Step 2: Convert to fraction form
    201.47/302.15 = 97.25/x
  3. Step 3: Cross multiply
    201.47x = 302.15 × 97.25
  4. Step 4: Simplify right side
    201.47x = 29,382.27
  5. Step 5: Solve for x
    x = 29,382.27/201.47
  6. Step 6: Final answer
    x = 145.84

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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.