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Finding the Fourth Proportional to 266.36, 400.15 and 189.51

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Solution

The fourth proportional to 266.36, 400.15 and 189.51 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.36 : 400.15 = 189.51 : x
  2. Step 2: Convert to fraction form
    266.36/400.15 = 189.51/x
  3. Step 3: Cross multiply
    266.36x = 400.15 × 189.51
  4. Step 4: Simplify right side
    266.36x = 75,832.43
  5. Step 5: Solve for x
    x = 75,832.43/266.36
  6. Step 6: Final answer
    x = 284.70

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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.