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Finding the Fourth Proportional to 266.12, 399.08 and 157.79

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Solution

The fourth proportional to 266.12, 399.08 and 157.79 is: 236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.12 : 399.08 = 157.79 : x
  2. Step 2: Convert to fraction form
    266.12/399.08 = 157.79/x
  3. Step 3: Cross multiply
    266.12x = 399.08 × 157.79
  4. Step 4: Simplify right side
    266.12x = 62,969.23
  5. Step 5: Solve for x
    x = 62,969.23/266.12
  6. Step 6: Final answer
    x = 236.62

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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.