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Finding the Fourth Proportional to 439.84, 659.76 and 166

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Solution

The fourth proportional to 439.84, 659.76 and 166 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.84 : 659.76 = 166 : x
  2. Step 2: Convert to fraction form
    439.84/659.76 = 166/x
  3. Step 3: Cross multiply
    439.84x = 659.76 × 166
  4. Step 4: Simplify right side
    439.84x = 109,520.16
  5. Step 5: Solve for x
    x = 109,520.16/439.84
  6. Step 6: Final answer
    x = 249.00

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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.