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Finding the Fourth Proportional to 200.69, 301.10 and 121.63

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Solution

The fourth proportional to 200.69, 301.10 and 121.63 is: 182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.69 : 301.10 = 121.63 : x
  2. Step 2: Convert to fraction form
    200.69/301.10 = 121.63/x
  3. Step 3: Cross multiply
    200.69x = 301.10 × 121.63
  4. Step 4: Simplify right side
    200.69x = 36,623.47
  5. Step 5: Solve for x
    x = 36,623.47/200.69
  6. Step 6: Final answer
    x = 182.49

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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.