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Finding the Fourth Proportional to 264.12, 395.34 and 189.87

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Solution

The fourth proportional to 264.12, 395.34 and 189.87 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.12 : 395.34 = 189.87 : x
  2. Step 2: Convert to fraction form
    264.12/395.34 = 189.87/x
  3. Step 3: Cross multiply
    264.12x = 395.34 × 189.87
  4. Step 4: Simplify right side
    264.12x = 75,063.21
  5. Step 5: Solve for x
    x = 75,063.21/264.12
  6. Step 6: Final answer
    x = 284.20

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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.