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Finding the Fourth Proportional to 266.59, 400.34 and 144.94

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Solution

The fourth proportional to 266.59, 400.34 and 144.94 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.59 : 400.34 = 144.94 : x
  2. Step 2: Convert to fraction form
    266.59/400.34 = 144.94/x
  3. Step 3: Cross multiply
    266.59x = 400.34 × 144.94
  4. Step 4: Simplify right side
    266.59x = 58,025.39
  5. Step 5: Solve for x
    x = 58,025.39/266.59
  6. Step 6: Final answer
    x = 217.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.