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Finding the Fourth Proportional to 200.17, 300.11 and 102.59

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Solution

The fourth proportional to 200.17, 300.11 and 102.59 is: 153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.17 : 300.11 = 102.59 : x
  2. Step 2: Convert to fraction form
    200.17/300.11 = 102.59/x
  3. Step 3: Cross multiply
    200.17x = 300.11 × 102.59
  4. Step 4: Simplify right side
    200.17x = 30,788.24
  5. Step 5: Solve for x
    x = 30,788.24/200.17
  6. Step 6: Final answer
    x = 153.81

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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.