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Finding the Fourth Proportional to 314.14, 433.43 and 189.87

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Solution

The fourth proportional to 314.14, 433.43 and 189.87 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.14 : 433.43 = 189.87 : x
  2. Step 2: Convert to fraction form
    314.14/433.43 = 189.87/x
  3. Step 3: Cross multiply
    314.14x = 433.43 × 189.87
  4. Step 4: Simplify right side
    314.14x = 82,292.24
  5. Step 5: Solve for x
    x = 82,292.24/314.14
  6. Step 6: Final answer
    x = 261.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.