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Finding the Fourth Proportional to 266.99, 400.77 and 157.53

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Solution

The fourth proportional to 266.99, 400.77 and 157.53 is: 236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.99 : 400.77 = 157.53 : x
  2. Step 2: Convert to fraction form
    266.99/400.77 = 157.53/x
  3. Step 3: Cross multiply
    266.99x = 400.77 × 157.53
  4. Step 4: Simplify right side
    266.99x = 63,133.30
  5. Step 5: Solve for x
    x = 63,133.30/266.99
  6. Step 6: Final answer
    x = 236.47

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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.