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Finding the Fourth Proportional to 662.10, 993.16 and 175.14

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Solution

The fourth proportional to 662.10, 993.16 and 175.14 is: 262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.10 : 993.16 = 175.14 : x
  2. Step 2: Convert to fraction form
    662.10/993.16 = 175.14/x
  3. Step 3: Cross multiply
    662.10x = 993.16 × 175.14
  4. Step 4: Simplify right side
    662.10x = 173,942.04
  5. Step 5: Solve for x
    x = 173,942.04/662.10
  6. Step 6: Final answer
    x = 262.71

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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.