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Finding the Fourth Proportional to 266.70, 400.18 and 189.48

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Solution

The fourth proportional to 266.70, 400.18 and 189.48 is: 284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.70 : 400.18 = 189.48 : x
  2. Step 2: Convert to fraction form
    266.70/400.18 = 189.48/x
  3. Step 3: Cross multiply
    266.70x = 400.18 × 189.48
  4. Step 4: Simplify right side
    266.70x = 75,826.11
  5. Step 5: Solve for x
    x = 75,826.11/266.70
  6. Step 6: Final answer
    x = 284.31

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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.