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Finding the Fourth Proportional to 266.79, 400.41 and 120.51

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Solution

The fourth proportional to 266.79, 400.41 and 120.51 is: 180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.79 : 400.41 = 120.51 : x
  2. Step 2: Convert to fraction form
    266.79/400.41 = 120.51/x
  3. Step 3: Cross multiply
    266.79x = 400.41 × 120.51
  4. Step 4: Simplify right side
    266.79x = 48,253.41
  5. Step 5: Solve for x
    x = 48,253.41/266.79
  6. Step 6: Final answer
    x = 180.87

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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.