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Finding the Fourth Proportional to 266.69, 399.95 and 90.96

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Solution

The fourth proportional to 266.69, 399.95 and 90.96 is: 136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.69 : 399.95 = 90.96 : x
  2. Step 2: Convert to fraction form
    266.69/399.95 = 90.96/x
  3. Step 3: Cross multiply
    266.69x = 399.95 × 90.96
  4. Step 4: Simplify right side
    266.69x = 36,379.45
  5. Step 5: Solve for x
    x = 36,379.45/266.69
  6. Step 6: Final answer
    x = 136.41

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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.