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Finding the Fourth Proportional to 266.56, 399.68 and 95.60

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Solution

The fourth proportional to 266.56, 399.68 and 95.60 is: 143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.56 : 399.68 = 95.60 : x
  2. Step 2: Convert to fraction form
    266.56/399.68 = 95.60/x
  3. Step 3: Cross multiply
    266.56x = 399.68 × 95.60
  4. Step 4: Simplify right side
    266.56x = 38,209.41
  5. Step 5: Solve for x
    x = 38,209.41/266.56
  6. Step 6: Final answer
    x = 143.34

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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.