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Finding the Fourth Proportional to 440.35, 660.63 and 166.45

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Solution

The fourth proportional to 440.35, 660.63 and 166.45 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.35 : 660.63 = 166.45 : x
  2. Step 2: Convert to fraction form
    440.35/660.63 = 166.45/x
  3. Step 3: Cross multiply
    440.35x = 660.63 × 166.45
  4. Step 4: Simplify right side
    440.35x = 109,957.73
  5. Step 5: Solve for x
    x = 109,957.73/440.35
  6. Step 6: Final answer
    x = 249.70

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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.