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Finding the Fourth Proportional to 266.96, 400.68 and 180.08

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Solution

The fourth proportional to 266.96, 400.68 and 180.08 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.96 : 400.68 = 180.08 : x
  2. Step 2: Convert to fraction form
    266.96/400.68 = 180.08/x
  3. Step 3: Cross multiply
    266.96x = 400.68 × 180.08
  4. Step 4: Simplify right side
    266.96x = 72,154.45
  5. Step 5: Solve for x
    x = 72,154.45/266.96
  6. Step 6: Final answer
    x = 270.28

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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.