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Finding the Fourth Proportional to 200.18, 300.26 and 102.60

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Solution

The fourth proportional to 200.18, 300.26 and 102.60 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.18 : 300.26 = 102.60 : x
  2. Step 2: Convert to fraction form
    200.18/300.26 = 102.60/x
  3. Step 3: Cross multiply
    200.18x = 300.26 × 102.60
  4. Step 4: Simplify right side
    200.18x = 30,806.93
  5. Step 5: Solve for x
    x = 30,806.93/200.18
  6. Step 6: Final answer
    x = 153.89

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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.