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Finding the Fourth Proportional to 662.99, 994.49 and 176.04

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Solution

The fourth proportional to 662.99, 994.49 and 176.04 is: 264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.99 : 994.49 = 176.04 : x
  2. Step 2: Convert to fraction form
    662.99/994.49 = 176.04/x
  3. Step 3: Cross multiply
    662.99x = 994.49 × 176.04
  4. Step 4: Simplify right side
    662.99x = 175,069.14
  5. Step 5: Solve for x
    x = 175,069.14/662.99
  6. Step 6: Final answer
    x = 264.06

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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.