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Finding the Fourth Proportional to 291.80, 437.82 and 200.68

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Solution

The fourth proportional to 291.80, 437.82 and 200.68 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.80 : 437.82 = 200.68 : x
  2. Step 2: Convert to fraction form
    291.80/437.82 = 200.68/x
  3. Step 3: Cross multiply
    291.80x = 437.82 × 200.68
  4. Step 4: Simplify right side
    291.80x = 87,861.72
  5. Step 5: Solve for x
    x = 87,861.72/291.80
  6. Step 6: Final answer
    x = 301.10

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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.