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Finding the Fourth Proportional to 266.16, 399.16 and 73.80

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Solution

The fourth proportional to 266.16, 399.16 and 73.80 is: 110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.16 : 399.16 = 73.80 : x
  2. Step 2: Convert to fraction form
    266.16/399.16 = 73.80/x
  3. Step 3: Cross multiply
    266.16x = 399.16 × 73.80
  4. Step 4: Simplify right side
    266.16x = 29,458.01
  5. Step 5: Solve for x
    x = 29,458.01/266.16
  6. Step 6: Final answer
    x = 110.68

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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.