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Finding the Fourth Proportional to 266.64, 400.23 and 164.04

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Solution

The fourth proportional to 266.64, 400.23 and 164.04 is: 246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.64 : 400.23 = 164.04 : x
  2. Step 2: Convert to fraction form
    266.64/400.23 = 164.04/x
  3. Step 3: Cross multiply
    266.64x = 400.23 × 164.04
  4. Step 4: Simplify right side
    266.64x = 65,653.73
  5. Step 5: Solve for x
    x = 65,653.73/266.64
  6. Step 6: Final answer
    x = 246.23

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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.