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Finding the Fourth Proportional to 200.24, 300.25 and 102.63

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Solution

The fourth proportional to 200.24, 300.25 and 102.63 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 300.25 = 102.63 : x
  2. Step 2: Convert to fraction form
    200.24/300.25 = 102.63/x
  3. Step 3: Cross multiply
    200.24x = 300.25 × 102.63
  4. Step 4: Simplify right side
    200.24x = 30,814.66
  5. Step 5: Solve for x
    x = 30,814.66/200.24
  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.