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Finding the Fourth Proportional to 266.55, 400.32 and 159

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Solution

The fourth proportional to 266.55, 400.32 and 159 is: 238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.55 : 400.32 = 159 : x
  2. Step 2: Convert to fraction form
    266.55/400.32 = 159/x
  3. Step 3: Cross multiply
    266.55x = 400.32 × 159
  4. Step 4: Simplify right side
    266.55x = 63,650.88
  5. Step 5: Solve for x
    x = 63,650.88/266.55
  6. Step 6: Final answer
    x = 238.80

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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.