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Finding the Fourth Proportional to 440.17, 660.25 and 166.25

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Solution

The fourth proportional to 440.17, 660.25 and 166.25 is: 249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.17 : 660.25 = 166.25 : x
  2. Step 2: Convert to fraction form
    440.17/660.25 = 166.25/x
  3. Step 3: Cross multiply
    440.17x = 660.25 × 166.25
  4. Step 4: Simplify right side
    440.17x = 109,768.42
  5. Step 5: Solve for x
    x = 109,768.42/440.17
  6. Step 6: Final answer
    x = 249.38

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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.