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Finding the Fourth Proportional to 291.23, 437.17 and 199.27

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Solution

The fourth proportional to 291.23, 437.17 and 199.27 is: 299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.23 : 437.17 = 199.27 : x
  2. Step 2: Convert to fraction form
    291.23/437.17 = 199.27/x
  3. Step 3: Cross multiply
    291.23x = 437.17 × 199.27
  4. Step 4: Simplify right side
    291.23x = 87,114.62
  5. Step 5: Solve for x
    x = 87,114.62/291.23
  6. Step 6: Final answer
    x = 299.13

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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.