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Finding the Fourth Proportional to 666.19, 999.29 and 179.23

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Solution

The fourth proportional to 666.19, 999.29 and 179.23 is: 268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.19 : 999.29 = 179.23 : x
  2. Step 2: Convert to fraction form
    666.19/999.29 = 179.23/x
  3. Step 3: Cross multiply
    666.19x = 999.29 × 179.23
  4. Step 4: Simplify right side
    666.19x = 179,102.75
  5. Step 5: Solve for x
    x = 179,102.75/666.19
  6. Step 6: Final answer
    x = 268.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.