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Finding the Fourth Proportional to 662.15, 993.12 and 175.23

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Solution

The fourth proportional to 662.15, 993.12 and 175.23 is: 262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.15 : 993.12 = 175.23 : x
  2. Step 2: Convert to fraction form
    662.15/993.12 = 175.23/x
  3. Step 3: Cross multiply
    662.15x = 993.12 × 175.23
  4. Step 4: Simplify right side
    662.15x = 174,024.42
  5. Step 5: Solve for x
    x = 174,024.42/662.15
  6. Step 6: Final answer
    x = 262.82

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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.