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Finding the Fourth Proportional to 200.95, 301.50 and 132.51

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Solution

The fourth proportional to 200.95, 301.50 and 132.51 is: 198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.95 : 301.50 = 132.51 : x
  2. Step 2: Convert to fraction form
    200.95/301.50 = 132.51/x
  3. Step 3: Cross multiply
    200.95x = 301.50 × 132.51
  4. Step 4: Simplify right side
    200.95x = 39,951.77
  5. Step 5: Solve for x
    x = 39,951.77/200.95
  6. Step 6: Final answer
    x = 198.81

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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.