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Finding the Fourth Proportional to 200.50, 297.64 and 197.26

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Solution

The fourth proportional to 200.50, 297.64 and 197.26 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.50 : 297.64 = 197.26 : x
  2. Step 2: Convert to fraction form
    200.50/297.64 = 197.26/x
  3. Step 3: Cross multiply
    200.50x = 297.64 × 197.26
  4. Step 4: Simplify right side
    200.50x = 58,712.47
  5. Step 5: Solve for x
    x = 58,712.47/200.50
  6. Step 6: Final answer
    x = 292.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.