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Finding the Fourth Proportional to 666.39, 999.69 and 179.46

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Solution

The fourth proportional to 666.39, 999.69 and 179.46 is: 269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.39 : 999.69 = 179.46 : x
  2. Step 2: Convert to fraction form
    666.39/999.69 = 179.46/x
  3. Step 3: Cross multiply
    666.39x = 999.69 × 179.46
  4. Step 4: Simplify right side
    666.39x = 179,404.37
  5. Step 5: Solve for x
    x = 179,404.37/666.39
  6. Step 6: Final answer
    x = 269.22

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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.