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Finding the Fourth Proportional to 199.34, 299.01 and 170.64

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Solution

The fourth proportional to 199.34, 299.01 and 170.64 is: 255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 299.01 = 170.64 : x
  2. Step 2: Convert to fraction form
    199.34/299.01 = 170.64/x
  3. Step 3: Cross multiply
    199.34x = 299.01 × 170.64
  4. Step 4: Simplify right side
    199.34x = 51,023.07
  5. Step 5: Solve for x
    x = 51,023.07/199.34
  6. Step 6: Final answer
    x = 255.97

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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.