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Finding the Fourth Proportional to 266.58, 400.49 and 158.45

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Solution

The fourth proportional to 266.58, 400.49 and 158.45 is: 238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.58 : 400.49 = 158.45 : x
  2. Step 2: Convert to fraction form
    266.58/400.49 = 158.45/x
  3. Step 3: Cross multiply
    266.58x = 400.49 × 158.45
  4. Step 4: Simplify right side
    266.58x = 63,454.85
  5. Step 5: Solve for x
    x = 63,454.85/266.58
  6. Step 6: Final answer
    x = 238.03

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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.