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Finding the Fourth Proportional to 314.31, 433.77 and 190.05

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Solution

The fourth proportional to 314.31, 433.77 and 190.05 is: 262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 433.77 = 190.05 : x
  2. Step 2: Convert to fraction form
    314.31/433.77 = 190.05/x
  3. Step 3: Cross multiply
    314.31x = 433.77 × 190.05
  4. Step 4: Simplify right side
    314.31x = 82,437.99
  5. Step 5: Solve for x
    x = 82,437.99/314.31
  6. Step 6: Final answer
    x = 262.28

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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.