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Finding the Fourth Proportional to 441.81, 662.64 and 117.21

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Solution

The fourth proportional to 441.81, 662.64 and 117.21 is: 175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.81 : 662.64 = 117.21 : x
  2. Step 2: Convert to fraction form
    441.81/662.64 = 117.21/x
  3. Step 3: Cross multiply
    441.81x = 662.64 × 117.21
  4. Step 4: Simplify right side
    441.81x = 77,668.03
  5. Step 5: Solve for x
    x = 77,668.03/441.81
  6. Step 6: Final answer
    x = 175.80

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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.