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Finding the Fourth Proportional to 266.81, 400.37 and 145.14

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Solution

The fourth proportional to 266.81, 400.37 and 145.14 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 400.37 = 145.14 : x
  2. Step 2: Convert to fraction form
    266.81/400.37 = 145.14/x
  3. Step 3: Cross multiply
    266.81x = 400.37 × 145.14
  4. Step 4: Simplify right side
    266.81x = 58,108.98
  5. Step 5: Solve for x
    x = 58,108.98/266.81
  6. Step 6: Final answer
    x = 217.80

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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.