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Finding the Fourth Proportional to 662.97, 994.38 and 176.07

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Solution

The fourth proportional to 662.97, 994.38 and 176.07 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.97 : 994.38 = 176.07 : x
  2. Step 2: Convert to fraction form
    662.97/994.38 = 176.07/x
  3. Step 3: Cross multiply
    662.97x = 994.38 × 176.07
  4. Step 4: Simplify right side
    662.97x = 175,080.49
  5. Step 5: Solve for x
    x = 175,080.49/662.97
  6. Step 6: Final answer
    x = 264.09

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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.