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Finding the Fourth Proportional to 200.20, 300.06 and 114.52

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Solution

The fourth proportional to 200.20, 300.06 and 114.52 is: 171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 300.06 = 114.52 : x
  2. Step 2: Convert to fraction form
    200.20/300.06 = 114.52/x
  3. Step 3: Cross multiply
    200.20x = 300.06 × 114.52
  4. Step 4: Simplify right side
    200.20x = 34,362.87
  5. Step 5: Solve for x
    x = 34,362.87/200.20
  6. Step 6: Final answer
    x = 171.64

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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.