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Finding the Fourth Proportional to 266.89, 400.47 and 120.75

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Solution

The fourth proportional to 266.89, 400.47 and 120.75 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.89 : 400.47 = 120.75 : x
  2. Step 2: Convert to fraction form
    266.89/400.47 = 120.75/x
  3. Step 3: Cross multiply
    266.89x = 400.47 × 120.75
  4. Step 4: Simplify right side
    266.89x = 48,356.75
  5. Step 5: Solve for x
    x = 48,356.75/266.89
  6. Step 6: Final answer
    x = 181.19

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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.