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Finding the Fourth Proportional to 314.10, 433.31 and 189.77

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Solution

The fourth proportional to 314.10, 433.31 and 189.77 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 433.31 = 189.77 : x
  2. Step 2: Convert to fraction form
    314.10/433.31 = 189.77/x
  3. Step 3: Cross multiply
    314.10x = 433.31 × 189.77
  4. Step 4: Simplify right side
    314.10x = 82,226.12
  5. Step 5: Solve for x
    x = 82,226.12/314.10
  6. Step 6: Final answer
    x = 261.78

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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.