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Finding the Fourth Proportional to 200.30, 272.03 and 200.30

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Solution

The fourth proportional to 200.30, 272.03 and 200.30 is: 272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 272.03 = 200.30 : x
  2. Step 2: Convert to fraction form
    200.30/272.03 = 200.30/x
  3. Step 3: Cross multiply
    200.30x = 272.03 × 200.30
  4. Step 4: Simplify right side
    200.30x = 54,487.61
  5. Step 5: Solve for x
    x = 54,487.61/200.30
  6. Step 6: Final answer
    x = 272.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.