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Finding the Fourth Proportional to 440.29, 660.32 and 166.30

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Solution

The fourth proportional to 440.29, 660.32 and 166.30 is: 249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.29 : 660.32 = 166.30 : x
  2. Step 2: Convert to fraction form
    440.29/660.32 = 166.30/x
  3. Step 3: Cross multiply
    440.29x = 660.32 × 166.30
  4. Step 4: Simplify right side
    440.29x = 109,807.08
  5. Step 5: Solve for x
    x = 109,807.08/440.29
  6. Step 6: Final answer
    x = 249.40

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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.