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Finding the Fourth Proportional to 200.04, 297.93 and 195.27

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Solution

The fourth proportional to 200.04, 297.93 and 195.27 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 297.93 = 195.27 : x
  2. Step 2: Convert to fraction form
    200.04/297.93 = 195.27/x
  3. Step 3: Cross multiply
    200.04x = 297.93 × 195.27
  4. Step 4: Simplify right side
    200.04x = 58,176.79
  5. Step 5: Solve for x
    x = 58,176.79/200.04
  6. Step 6: Final answer
    x = 290.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.