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Finding the Fourth Proportional to 200.20, 290.05 and 200.20

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Solution

The fourth proportional to 200.20, 290.05 and 200.20 is: 290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 290.05 = 200.20 : x
  2. Step 2: Convert to fraction form
    200.20/290.05 = 200.20/x
  3. Step 3: Cross multiply
    200.20x = 290.05 × 200.20
  4. Step 4: Simplify right side
    200.20x = 58,068.01
  5. Step 5: Solve for x
    x = 58,068.01/200.20
  6. Step 6: Final answer
    x = 290.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.