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Finding the Fourth Proportional to 200.80, 301.24 and 114.17

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Solution

The fourth proportional to 200.80, 301.24 and 114.17 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 301.24 = 114.17 : x
  2. Step 2: Convert to fraction form
    200.80/301.24 = 114.17/x
  3. Step 3: Cross multiply
    200.80x = 301.24 × 114.17
  4. Step 4: Simplify right side
    200.80x = 34,393.25
  5. Step 5: Solve for x
    x = 34,393.25/200.80
  6. Step 6: Final answer
    x = 171.28

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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.