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Finding the Fourth Proportional to 440.31, 659.97 and 166.23

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Solution

The fourth proportional to 440.31, 659.97 and 166.23 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.31 : 659.97 = 166.23 : x
  2. Step 2: Convert to fraction form
    440.31/659.97 = 166.23/x
  3. Step 3: Cross multiply
    440.31x = 659.97 × 166.23
  4. Step 4: Simplify right side
    440.31x = 109,706.81
  5. Step 5: Solve for x
    x = 109,706.81/440.31
  6. Step 6: Final answer
    x = 249.16

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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.