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Finding the Fourth Proportional to 200.03, 301.38 and 166.52

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Solution

The fourth proportional to 200.03, 301.38 and 166.52 is: 250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.03 : 301.38 = 166.52 : x
  2. Step 2: Convert to fraction form
    200.03/301.38 = 166.52/x
  3. Step 3: Cross multiply
    200.03x = 301.38 × 166.52
  4. Step 4: Simplify right side
    200.03x = 50,184.29
  5. Step 5: Solve for x
    x = 50,184.29/200.03
  6. Step 6: Final answer
    x = 250.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.