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Finding the Fourth Proportional to 201.88, 302.28 and 129.52

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Solution

The fourth proportional to 201.88, 302.28 and 129.52 is: 193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 302.28 = 129.52 : x
  2. Step 2: Convert to fraction form
    201.88/302.28 = 129.52/x
  3. Step 3: Cross multiply
    201.88x = 302.28 × 129.52
  4. Step 4: Simplify right side
    201.88x = 39,151.31
  5. Step 5: Solve for x
    x = 39,151.31/201.88
  6. Step 6: Final answer
    x = 193.93

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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.