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Finding the Fourth Proportional to 200.22, 299.85 and 102.47

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Solution

The fourth proportional to 200.22, 299.85 and 102.47 is: 153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 299.85 = 102.47 : x
  2. Step 2: Convert to fraction form
    200.22/299.85 = 102.47/x
  3. Step 3: Cross multiply
    200.22x = 299.85 × 102.47
  4. Step 4: Simplify right side
    200.22x = 30,724.32
  5. Step 5: Solve for x
    x = 30,724.32/200.22
  6. Step 6: Final answer
    x = 153.45

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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.