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Finding the Fourth Proportional to 266, 399.14 and 189.46

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Solution

The fourth proportional to 266, 399.14 and 189.46 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266 : 399.14 = 189.46 : x
  2. Step 2: Convert to fraction form
    266/399.14 = 189.46/x
  3. Step 3: Cross multiply
    266x = 399.14 × 189.46
  4. Step 4: Simplify right side
    266x = 75,621.06
  5. Step 5: Solve for x
    x = 75,621.06/266
  6. Step 6: Final answer
    x = 284.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.