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Finding the Fourth Proportional to 314.51, 433.99 and 190.22

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Solution

The fourth proportional to 314.51, 433.99 and 190.22 is: 262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.51 : 433.99 = 190.22 : x
  2. Step 2: Convert to fraction form
    314.51/433.99 = 190.22/x
  3. Step 3: Cross multiply
    314.51x = 433.99 × 190.22
  4. Step 4: Simplify right side
    314.51x = 82,553.58
  5. Step 5: Solve for x
    x = 82,553.58/314.51
  6. Step 6: Final answer
    x = 262.48

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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.