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Finding the Fourth Proportional to 200.66, 300.69 and 97.83

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Solution

The fourth proportional to 200.66, 300.69 and 97.83 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.66 : 300.69 = 97.83 : x
  2. Step 2: Convert to fraction form
    200.66/300.69 = 97.83/x
  3. Step 3: Cross multiply
    200.66x = 300.69 × 97.83
  4. Step 4: Simplify right side
    200.66x = 29,416.50
  5. Step 5: Solve for x
    x = 29,416.50/200.66
  6. Step 6: Final answer
    x = 146.60

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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.