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Finding the Fourth Proportional to 666.18, 999.32 and 179.24

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Solution

The fourth proportional to 666.18, 999.32 and 179.24 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.18 : 999.32 = 179.24 : x
  2. Step 2: Convert to fraction form
    666.18/999.32 = 179.24/x
  3. Step 3: Cross multiply
    666.18x = 999.32 × 179.24
  4. Step 4: Simplify right side
    666.18x = 179,112.22
  5. Step 5: Solve for x
    x = 179,112.22/666.18
  6. Step 6: Final answer
    x = 268.86

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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.