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Finding the Fourth Proportional to 426.66, 639.96 and 179.94

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Solution

The fourth proportional to 426.66, 639.96 and 179.94 is: 269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.66 : 639.96 = 179.94 : x
  2. Step 2: Convert to fraction form
    426.66/639.96 = 179.94/x
  3. Step 3: Cross multiply
    426.66x = 639.96 × 179.94
  4. Step 4: Simplify right side
    426.66x = 115,154.40
  5. Step 5: Solve for x
    x = 115,154.40/426.66
  6. Step 6: Final answer
    x = 269.90

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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.