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Finding the Fourth Proportional to 199.05, 297.79 and 175.96

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Solution

The fourth proportional to 199.05, 297.79 and 175.96 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.05 : 297.79 = 175.96 : x
  2. Step 2: Convert to fraction form
    199.05/297.79 = 175.96/x
  3. Step 3: Cross multiply
    199.05x = 297.79 × 175.96
  4. Step 4: Simplify right side
    199.05x = 52,399.13
  5. Step 5: Solve for x
    x = 52,399.13/199.05
  6. Step 6: Final answer
    x = 263.25

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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.