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Finding the Fourth Proportional to 662.63, 993.98 and 175.68

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Solution

The fourth proportional to 662.63, 993.98 and 175.68 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 993.98 = 175.68 : x
  2. Step 2: Convert to fraction form
    662.63/993.98 = 175.68/x
  3. Step 3: Cross multiply
    662.63x = 993.98 × 175.68
  4. Step 4: Simplify right side
    662.63x = 174,621.53
  5. Step 5: Solve for x
    x = 174,621.53/662.63
  6. Step 6: Final answer
    x = 263.53

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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.