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Finding the Fourth Proportional to 199.96, 300.29 and 176.87

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Solution

The fourth proportional to 199.96, 300.29 and 176.87 is: 265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.96 : 300.29 = 176.87 : x
  2. Step 2: Convert to fraction form
    199.96/300.29 = 176.87/x
  3. Step 3: Cross multiply
    199.96x = 300.29 × 176.87
  4. Step 4: Simplify right side
    199.96x = 53,112.29
  5. Step 5: Solve for x
    x = 53,112.29/199.96
  6. Step 6: Final answer
    x = 265.61

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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.