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Finding the Fourth Proportional to 200.80, 301.38 and 114.45

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Solution

The fourth proportional to 200.80, 301.38 and 114.45 is: 171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 301.38 = 114.45 : x
  2. Step 2: Convert to fraction form
    200.80/301.38 = 114.45/x
  3. Step 3: Cross multiply
    200.80x = 301.38 × 114.45
  4. Step 4: Simplify right side
    200.80x = 34,492.94
  5. Step 5: Solve for x
    x = 34,492.94/200.80
  6. Step 6: Final answer
    x = 171.78

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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.